If three coins are tossed, how many elements are there in the sample space?
1. If three coins are tossed, how many elements are there in the sample space?
Answer:
Sample Space: 8
Step-by-step explanation:
Sample Space:
1st toss: H(heads), H(heads), H(heads)
2nd toss:H(heads), H(heads), T(tails)
3rd toss: H, T, H
4th toss: H, T, T
5th toss: T, H, H
6th toss: T, H, T
7th toss: T, T, H
8th toss:T, T, T
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2. What is the sample space when a coin is tossed three times?
Answer:
What is the sample space when a coin is tossed three times?
{H, T}
3. Give the sample space of the following experiment.1. Tossing a coin three times
Answer:
three fair coin flips is all 23 possible sequences of outcomes
Step-by-step explanation:
{HHH,HHT,HTH,HTT,THH,THT,TTH,TTT
4. 1. A coin is tossed and the random variable X is the number of heads that appear. Use H to represent the headand T to represent the tail.Sample Spacex =2. Three coins are tossed and the random variable Y is the number of tail that appear.Sample Space =
Step-by-step explanation:
1. X= T
H
2. Y= TTH
TBH
TTT
HHH
HHT
HTT
HTH
THT
THT
5. what is the sample space for tossing coin two times
Answer:
3 Tossing a coin twice. The sample space is S = {HH,HT,TH,TT}. E = {HH,HT} is an event, which can be described in words as ”the first toss results in a Heads. Example 4 Tossing a die twice.
Step-by-step explanation:
If a coin is tossed twice, the possible outcomes are,
HH,HT,TH,TT.
Therefore, the sample space associated with the experiment is,
{HH,HT,TH,TT }
6. Sample space of rolling a die and tossing two coins simultaneously
the number of occurance of a dice is six and a coin has two hence forth the sample space is 24
7. Sample space of Tossing of two coins and rolling a dice.
Answer:
For example, if the experiment is tossing a coin, the sample space is typically the set {head, tail}, commonly written {H, T}. For tossing two coins, the corresponding sample space would be {(head,head), (head,tail), (tail,head), (tail,tail)}, commonly written {HH, HT, TH, TT}.
8. 1. What is the sample space in rolling a die? 2. What is the cardinality of the sample space in tossing a coin
Sample Space of rolling a die
{D} = {1, 2, 3, 4, 5, 6}
Cardinality of the sample space in tossing a coin
Since tossing a coin will result in two events, head or tails the answer would be |C| = 2
9. Let w be a random variable giving the number of heads minus the number of tails in three tosses of a coin. list the elementsof the sample space s for the three tosses of the coin and to each sample point assign a value w of w.
Step-by-step explanation:
mag tanong mag isip hey sagot na tayo
10. How many possible outcomes when tossing a coin in sample space?
23 possible
The sample space of a fair coin flip is {H, T}. The sample space of a sequence of three fair coin flips is all 23 possible sequences of outcomes: {HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}.
Hope it helps po Paki brainliest tsaka heart nalang din po ty ☺ #CARRYONLEARNING <311. A coin is tossed and then a die is thrown. List the sample space for this experiment.
Answer:
s = {head, tail, 1, 2, 3, 4, 5, 6}
12. 2.) Find the sample space of tossingtwo coins simultaneously.
Answer:
When we toss two coins simultaneously then the possible of outcomes are: (two heads) or (one head and one tail) or (two tails) i.e., in short (H, H) or (H, T) or (T, T) respectively; where H is denoted for head and T is denoted for tail.
Therefore, total numbers of outcome are 22 = 4
The above explanation will help us to solve the problems on finding the probability of tossing two coins.
1. Two different coins are tossed randomly. Find the probability of:
(i) getting two heads
(ii) getting two tails
(iii) getting one tail
(iv) getting no head
(v) getting no tail
(vi) getting at least 1 head
(vii) getting at least 1 tail
(viii) getting atmost 1 tail
(ix) getting 1 head and 1 tail
Solution:When two different coins are tossed randomly, the sample space is given by
S = {HH, HT, TH, TT}
Therefore, n(S) = 4.
(i) getting two heads:
Let E1 = event of getting 2 heads. Then,
E1 = {HH} and, therefore, n(E1) = 1.
Therefore, P(getting 2 heads) = P(E1) = n(E1)/n(S) = 1/4.
(ii) getting two tails:
Let E2 = event of getting 2 tails. Then,
E2 = {TT} and, therefore, n(E2) = 1.
Therefore, P(getting 2 tails) = P(E2) = n(E2)/n(S) = 1/4.
(iii) getting one tail:
Let E3 = event of getting 1 tail. Then,
E3 = {TH, HT} and, therefore, n(E3) = 2.
Therefore, P(getting 1 tail) = P(E3) = n(E3)/n(S) = 2/4 = 1/2
(iv) getting no head:
Let E4 = event of getting no head. Then,
E4 = {TT} and, therefore, n(E4) = 1.
Therefore, P(getting no head) = P(E4) = n(E4)/n(S) = ¼.
(v) getting no tail:
Let E5 = event of getting no tail. Then,
E5 = {HH} and, therefore, n(E5) = 1.
Therefore, P(getting no tail) = P(E5) = n(E5)/n(S) = ¼.
(vi) getting at least 1 head:
Let E6 = event of getting at least 1 head. Then,
E6 = {HT, TH, HH} and, therefore, n(E6) = 3.
Therefore, P(getting at least 1 head) = P(E6) = n(E6)/n(S) = ¾.
(vii) getting at least 1 tail:
Let E7 = event of getting at least 1 tail. Then,
E7 = {TH, HT, TT} and, therefore, n(E7) = 3.
Therefore, P(getting at least 1 tail) = P(E2) = n(E2)/n(S) = ¾.
(viii) getting atmost 1 tail:
Let E8 = event of getting atmost 1 tail. Then,
E8 = {TH, HT, HH} and, therefore, n(E8) = 3.
Therefore, P(getting atmost 1 tail) = P(E8) = n(E8)/n(S) = ¾.
(ix) getting 1 head and 1 tail:
Let E9 = event of getting 1 head and 1 tail. Then,
E9 = {HT, TH } and, therefore, n(E9) = 2.
Therefore, P(getting 1 head and 1 tail) = P(E9) = n(E9)/n(S)= 2/4 = 1/2.
The solved examples involving probability of tossing two coins will help us to practice different questions provided in the sheets for flipping 2 coins.
Step-by-step explanation:[][][]
13. rolling a Die and tossing a coin simultaneously sample space
Answer:
{1H,1T,2H,2T, 3H,3T,4H,4T,5H,5T,6H,6T}
14. What is the sample space when two coins are tossed?
Answer:
its reversal two coins
Explanation:
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15. if two coins are tossed, what are the sample spaces of the experiment?
A sample space is the set of all possible outcomes of a random experiment. When you toss a coin, there are only two possible outcomes-heads (h) or tails (t) so the sample space for the coin toss experiment is {h,t} .
16. What is the Sample Space of Tossing a coin and rolling two die
Answer:
Rolling two six-sided dice: Each die has 6 equally likely outcomes, so the sample space is 6 • 6 or 36 equally likely outcomes.
· Flipping three coins: Each coin has 2 equally likely outcomes, so the sample space is 2 • 2 • 2 or 8 equally likely outcomes.
Step-by-step explanation:
Source: https://www.montereyinstitute.org/courses/DevelopmentalMath/TEXTGROUP-1-8_RESOURCE/U08_L4_T1_text_final.html#:~:text=Rolling%20two%20six%2Dsided%20dice,or%2036%20equally%20likely%20outcomes.&text=Flipping%20three%20coins%3A%20Each%20coin,or%208%20equally%20likely%20outcomes.
17. list all the elements in the given sample spacea. tossing a coin and die.
Answer:
For example, tossing a coin has 2 items in its sample space. Rolling a die has 6. Thus, the sample space of the experiment from simultaneously flipping a coin and rolling a die consisted of: 2 × 6 = 12 possible outcomes.
Step-by-step explanation:
A sample space is the set of all possible outcomes of a random experiment. When you toss a coin, there are only two possible outcomes-heads (h) or tails (t) so the sample space for the coin toss experiment is {h,t} .
Rolling two six-sided dice: Each die has 6 equally likely outcomes, so the sample space is 6 • 6 or 36 equally likely outcomes. Flipping three coins: Each coin has 2 equally likely outcomes, so the sample space is 2 • 2 • 2 or 8 equally likely outcomes.
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18. two coins are tossed. represent the sample space for this experiment by making a list
Answer:
sample space:{head,tail}
19. A coin will be tossed 3 times give the sample space
Answer:
The sample space of a fair coin flip is {H, T}. The sample space of a sequence of three fair coin flips is all 23 possible sequences of outcomes: {HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}.
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20. Fill in the blanks. Give the sample space of thefollowing experiments.1. Tossing two coinsSample space: ((HT),(H,H),32. Rolling a die and tossing a coinSample space: {(H,1),(H,2),(1,1),
Answer:
1. (HH)(HT)(TH)(TT)
2. (1H)(1T)(2H)(2T)(3H)(3T)(4H)(4T)(5H)(5T)(6H)(6T)
21. Sample space of tossing 7 coins
Answer:
128
Explanation:
1st coin
headtail2nd coin
headtail3rd coin
headtail4th coin
headtail5th coin
headtail6th coin
headtail7th coin
headtailso if you multiply all the number of outcomes per coin:
2×2×2×2×2×2×2 = 128
22. How many sample spaces are there where six coins are tossed.
Answer:64Explanation:so this can happen in only one way while there are 2^6 =64 different possible outcomes for the six coin tosses so the probability that f(6) = 6 is \frac{1}{64}.
23. What is the sample space for tossing a coin?
Answer: For example, if the experiment is tossing a coin, the sample space is typically the set {head, tail}, commonly written {H, T}. For tossing two coins, the corresponding sample space would be {(head,head), (head,tail), (tail,head), (tail,tail)}, commonly written {HH, HT, TH, TT}.
Step-by-step explanation:
24. 2. Let T be the random variable giving the number of heads in three tosses of a coin. List the elements of the sample space S for the three of the coin and assign a value to each sample point Need answer po
Answer:
Let's denote H - heads, T - tails.
Sample space S is all possible outcomes of three tosses of a coin.
S = {HHH, THH, HTH, HHT, TTH, THT, HTT, TTT}
Now, T is sum of heads and tails in every element from S. Any element from S consist of 3 events, and every event is either H or T, so for any element from S: T = 3. To show it in detail,
T = {3+0, 2+1, 2+1, 2+1, 1+2, 1+2, 1+2, 3+0} = {3, 3, 3, 3, 3, 3, 3, 3}
Step-by-step explanation:
goodlock
25. how many sample spaces are there when six coins are tossed
Answer:
Rolling a die has 6. Thus, the sample space of the experiment from simultaneously flipping a coin and rolling a die consisted of: 2 × 6 = 12 possible outcomes.
26. how many sample space in tossing two coins
Math Only Math
When two different coins are tossed randomly, the sample space is given by. S = {HH, HT, TH, TT}. Therefore, n(S) = 4
27. A coin toss of a coin and a die sample space
The sample space of a coin tossed is {coin,tail} while the sample space of a die is {1,2,3,4,5,6}.
28. What is the sample space of tossing a coin?
Answer:
example, if the experiment is tossing a coin, the sample space is typically the set {head, tail}, commonly written {H, T}. For tossing two coins, the corresponding sample space would be {(head,head), (head,tail), (tail,head), (tail,tail)}, commonly written {HH, HT, TH, TT}.
Answer:
{head, tail}
Step-by-step explanation:
If you toss a coin, di ba pwedeng maging head o tail yung makukuha mo?
29. What is thesample space of rollingdie and tossing acoin simultaneously?
Answer:
Roll a die is 1 in a 6 chance of getting your designated number
tossing a coin is a 50/50 chance of getting a Heads or Tails
Step-by-step explanation:
Follow
30. write the sample of space Tossing of two coins and rolling a die
Answer:
For example, tossing a coin has 2 items in its sample space. Rolling a die has 6. Thus, the sample space of the experiment from simultaneously flipping a coin and rolling a die consisted of: 2 × 6 = 12 possible outcomes.
Step-by-step explanation:
A sample space is the set of all possible outcomes of a random experiment. When you toss a coin, there are only two possible outcomes-heads (h) or tails (t) so the sample space for the coin toss experiment is {h,t} .
Rolling two six-sided dice: Each die has 6 equally likely outcomes, so the sample space is 6 • 6 or 36 equally likely outcomes. Flipping three coins: Each coin has 2 equally likely outcomes, so the sample space is 2 • 2 • 2 or 8 equally likely outcomes.
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