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Three cards numbered 2, 4 and 8 are put into a box. If a card is drawn at random, what is the probability that the card drawn is
(i) a prime number?
  • a)
    1
  • b)
    1/3
  • c)
    4/5
  • d)
    5/7
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Three cards numbered 2, 4 and 8 are put into a box. If a card is drawn...
(i) Since 2 is the only prime number out of the three numbers, the answer would be 1/3
This question is part of UPSC exam. View all Quant courses
Most Upvoted Answer
Three cards numbered 2, 4 and 8 are put into a box. If a card is drawn...
Probability of getting a prime no=no of favorable outcomes/total no. outcomes
i.e 1/3
Community Answer
Three cards numbered 2, 4 and 8 are put into a box. If a card is drawn...
Solution:

In this problem, we have three cards numbered 2, 4, and 8.

We need to find the probability of getting a prime number.

There are only two prime numbers among the given numbers, i.e., 2 and 4.

Therefore, the probability of getting a prime number = number of favorable outcomes/total number of outcomes

Total number of outcomes = 3 (as there are three cards in the box)

Number of favorable outcomes = 2 (as there are two prime numbers)

Therefore, the probability of getting a prime number = 2/3

Hence, the correct option is B) 1/3.

Final Answer: Option B) 1/3
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Three cards numbered 2, 4 and 8 are put into a box. If a card is drawn at random, what is the probability that the card drawn is(i) a prime number?a)1b)1/3c)4/5d)5/7Correct answer is option 'B'. Can you explain this answer?
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