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What is the sample space for an experiment when a coin is tossed and then a dice is thrown?
- a){1H,2H3H,4H,5H,6H,T1,T2,T3,T4,T5,T6}
- b){H1,T1,H6,T6}
- c){H1,T1,H2,T2,H3,T3,H4,T4,H5,T5,H6,T6}
- d){HT,TH,TT,HH,1,2,3,4,5,6}
Correct answer is option 'C'. Can you explain this answer?
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What is the sample space for an experiment when a coin is tossed and t...
Sample Space for Coin Toss and Dice Throw Experiment
The sample space of an experiment refers to the set of all possible outcomes of that experiment. In this case, the experiment involves tossing a coin and then throwing a dice. Let's analyze the given options and determine which one represents the correct sample space.
a) {1H, 2H, 3H, 4H, 5H, 6H, T1, T2, T3, T4, T5, T6}
b) {H1, T1, H6, T6}
c) {H1, T1, H2, T2, H3, T3, H4, T4, H5, T5, H6, T6}
d) {HT, TH, TT, HH, 1, 2, 3, 4, 5, 6}
To determine the correct sample space, we need to consider the possible outcomes of each individual event (coin toss and dice throw) and combine them in all possible ways.
1. Coin Toss:
The coin can either land on heads (H) or tails (T). So, the sample space for the coin toss is {H, T}.
2. Dice Throw:
The dice has six faces numbered 1 to 6. So, the sample space for the dice throw is {1, 2, 3, 4, 5, 6}.
Combining the outcomes of the coin toss and dice throw:
To find the sample space for both events combined, we need to take all possible combinations of outcomes from the coin toss and dice throw.
For each outcome of the coin toss, we can pair it with each outcome of the dice throw. This results in the following combinations:
- H1, H2, H3, H4, H5, H6 (coin landed on heads, dice showed 1, 2, 3, 4, 5, 6 respectively)
- T1, T2, T3, T4, T5, T6 (coin landed on tails, dice showed 1, 2, 3, 4, 5, 6 respectively)
Therefore, the correct sample space is:
{H1, T1, H2, T2, H3, T3, H4, T4, H5, T5, H6, T6}
Option c) {H1, T1, H2, T2, H3, T3, H4, T4, H5, T5, H6, T6} represents the correct sample space for the given experiment.
Note: The other options do not include all possible combinations of outcomes from the coin toss and dice throw, making them incorrect.
The sample space of an experiment refers to the set of all possible outcomes of that experiment. In this case, the experiment involves tossing a coin and then throwing a dice. Let's analyze the given options and determine which one represents the correct sample space.
a) {1H, 2H, 3H, 4H, 5H, 6H, T1, T2, T3, T4, T5, T6}
b) {H1, T1, H6, T6}
c) {H1, T1, H2, T2, H3, T3, H4, T4, H5, T5, H6, T6}
d) {HT, TH, TT, HH, 1, 2, 3, 4, 5, 6}
To determine the correct sample space, we need to consider the possible outcomes of each individual event (coin toss and dice throw) and combine them in all possible ways.
1. Coin Toss:
The coin can either land on heads (H) or tails (T). So, the sample space for the coin toss is {H, T}.
2. Dice Throw:
The dice has six faces numbered 1 to 6. So, the sample space for the dice throw is {1, 2, 3, 4, 5, 6}.
Combining the outcomes of the coin toss and dice throw:
To find the sample space for both events combined, we need to take all possible combinations of outcomes from the coin toss and dice throw.
For each outcome of the coin toss, we can pair it with each outcome of the dice throw. This results in the following combinations:
- H1, H2, H3, H4, H5, H6 (coin landed on heads, dice showed 1, 2, 3, 4, 5, 6 respectively)
- T1, T2, T3, T4, T5, T6 (coin landed on tails, dice showed 1, 2, 3, 4, 5, 6 respectively)
Therefore, the correct sample space is:
{H1, T1, H2, T2, H3, T3, H4, T4, H5, T5, H6, T6}
Option c) {H1, T1, H2, T2, H3, T3, H4, T4, H5, T5, H6, T6} represents the correct sample space for the given experiment.
Note: The other options do not include all possible combinations of outcomes from the coin toss and dice throw, making them incorrect.
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Community Answer
What is the sample space for an experiment when a coin is tossed and t...
When a coin is tossed.Head or Tail may occur.
Whereby when a die is thrown the numbers from 1 to 6 may occur.
H represents Head.
T represents Tail.
(1-6) sides of the die.
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What is the sample space for an experiment when a coin is tossed and then a dice is thrown?a){1H,2H3H,4H,5H,6H,T1,T2,T3,T4,T5,T6}b){H1,T1,H6,T6}c){H1,T1,H2,T2,H3,T3,H4,T4,H5,T5,H6,T6}d){HT,TH,TT,HH,1,2,3,4,5,6}Correct answer is option 'C'. Can you explain this answer?
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What is the sample space for an experiment when a coin is tossed and then a dice is thrown?a){1H,2H3H,4H,5H,6H,T1,T2,T3,T4,T5,T6}b){H1,T1,H6,T6}c){H1,T1,H2,T2,H3,T3,H4,T4,H5,T5,H6,T6}d){HT,TH,TT,HH,1,2,3,4,5,6}Correct answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about What is the sample space for an experiment when a coin is tossed and then a dice is thrown?a){1H,2H3H,4H,5H,6H,T1,T2,T3,T4,T5,T6}b){H1,T1,H6,T6}c){H1,T1,H2,T2,H3,T3,H4,T4,H5,T5,H6,T6}d){HT,TH,TT,HH,1,2,3,4,5,6}Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the sample space for an experiment when a coin is tossed and then a dice is thrown?a){1H,2H3H,4H,5H,6H,T1,T2,T3,T4,T5,T6}b){H1,T1,H6,T6}c){H1,T1,H2,T2,H3,T3,H4,T4,H5,T5,H6,T6}d){HT,TH,TT,HH,1,2,3,4,5,6}Correct answer is option 'C'. Can you explain this answer?.
What is the sample space for an experiment when a coin is tossed and then a dice is thrown?a){1H,2H3H,4H,5H,6H,T1,T2,T3,T4,T5,T6}b){H1,T1,H6,T6}c){H1,T1,H2,T2,H3,T3,H4,T4,H5,T5,H6,T6}d){HT,TH,TT,HH,1,2,3,4,5,6}Correct answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about What is the sample space for an experiment when a coin is tossed and then a dice is thrown?a){1H,2H3H,4H,5H,6H,T1,T2,T3,T4,T5,T6}b){H1,T1,H6,T6}c){H1,T1,H2,T2,H3,T3,H4,T4,H5,T5,H6,T6}d){HT,TH,TT,HH,1,2,3,4,5,6}Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the sample space for an experiment when a coin is tossed and then a dice is thrown?a){1H,2H3H,4H,5H,6H,T1,T2,T3,T4,T5,T6}b){H1,T1,H6,T6}c){H1,T1,H2,T2,H3,T3,H4,T4,H5,T5,H6,T6}d){HT,TH,TT,HH,1,2,3,4,5,6}Correct answer is option 'C'. Can you explain this answer?.
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