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A coin and six faced die, both unbiased, are thrown simultaneously. The probability of getting a head on the coin and an odd number on the die is
- a)1/2
- b)3/4
- c)1/4
- d)2/3
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A coin and six faced die, both unbiased, are thrown simultaneously. Th...
Probability of getting a head on the coin:
Since the coin is unbiased, the probability of getting a head on the coin is 1/2. This means that out of the two possible outcomes (head or tail), the probability of getting a head is 1/2.
Probability of getting an odd number on the die:
The die is unbiased and has six faces numbered from 1 to 6. Out of these six numbers, three are odd (1, 3, and 5) and three are even (2, 4, and 6). Therefore, the probability of getting an odd number on the die is 3/6 or 1/2.
Probability of getting a head on the coin and an odd number on the die:
Since the coin and the die are thrown simultaneously, the two events are independent of each other. This means that the outcome of one event does not affect the outcome of the other event.
To find the probability of both events occurring, we multiply the probabilities of each event happening individually. Therefore, the probability of getting a head on the coin and an odd number on the die is (1/2) * (1/2) = 1/4.
Conclusion:
The probability of getting a head on the coin and an odd number on the die is 1/4. Therefore, the correct answer is option 'C'.
Since the coin is unbiased, the probability of getting a head on the coin is 1/2. This means that out of the two possible outcomes (head or tail), the probability of getting a head is 1/2.
Probability of getting an odd number on the die:
The die is unbiased and has six faces numbered from 1 to 6. Out of these six numbers, three are odd (1, 3, and 5) and three are even (2, 4, and 6). Therefore, the probability of getting an odd number on the die is 3/6 or 1/2.
Probability of getting a head on the coin and an odd number on the die:
Since the coin and the die are thrown simultaneously, the two events are independent of each other. This means that the outcome of one event does not affect the outcome of the other event.
To find the probability of both events occurring, we multiply the probabilities of each event happening individually. Therefore, the probability of getting a head on the coin and an odd number on the die is (1/2) * (1/2) = 1/4.
Conclusion:
The probability of getting a head on the coin and an odd number on the die is 1/4. Therefore, the correct answer is option 'C'.
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Community Answer
A coin and six faced die, both unbiased, are thrown simultaneously. Th...
The probability of getting a head on the coin is 1/2
the probability of getting an odd number i.e 1,3,5 on the die is 3/6 as the total no.of outcomes is 6 and the favourable outcomes are 3
therefore,
the required probability is 1/2 * 3/6=1/4
the probability of getting an odd number i.e 1,3,5 on the die is 3/6 as the total no.of outcomes is 6 and the favourable outcomes are 3
therefore,
the required probability is 1/2 * 3/6=1/4
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A coin and six faced die, both unbiased, are thrown simultaneously. The probability of getting a head on the coin and an odd number on the die isa)1/2b)3/4c)1/4d)2/3Correct answer is option 'C'. Can you explain this answer?
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