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Cards each marked with one of the numbers 4, 5, 6,...., 20 are placed in a box and mixed thoroughly. One card is drawn at random from the box. Then, the probability of getting an even prime number is
  • a)
    1
  • b)
    0
  • c)
    1/2
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Cards each marked with one of the numbers 4, 5, 6,...., 20 are placed ...
Solution:
Given that there are cards marked with numbers 4, 5, 6,...., 20 in a box.

To find: the probability of getting an even prime number.

Prime numbers between 4 to 20 are 5, 7, 11, 13, 17, and 19.

Out of these prime numbers, only 2 is an even number.

Thus, the probability of getting an even prime number is 1/6.

But, the question asks for the probability of getting an even prime number from the given numbers 4, 5, 6,...., 20.

Out of these numbers, even numbers are 4, 6, 8, 10, 12, 14, 16, 18, and 20.

There are no even prime numbers in this list.

Therefore, the probability of getting an even prime number is 0.

Hence, the correct answer is (B) 0.
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Community Answer
Cards each marked with one of the numbers 4, 5, 6,...., 20 are placed ...
We know 2 is the only even prime number but it is not present in the given cards

》So it is an impossible event to get even prime number

》Probability of an impossible event is 0

》so option B is the answer
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Cards each marked with one of the numbers 4, 5, 6,...., 20 are placed in a box and mixed thoroughly. One card is drawn at random from the box. Then, the probability of getting an even prime number isa)1b)0c)1/2d)None of theseCorrect answer is option 'B'. Can you explain this answer?
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