Home › JEE Main › Mathematics › Statistics and Probability › One card is drawn from a pack of 52. The probabi…
One card is drawn from a pack of 52. The probability that it is a spade or an ace is:
A17/52 of draws
B16/52 of draws
C13/52 of draws
D20/52 of draws
Answer & Solution
Correct answer: B. 16/52 of draws
1. P(spade) = 13/52 and P(ace) = 4/52.
2. The ace of spades is counted in both, so subtract P(both) = 1/52.
3. P = 13/52 + 4/52 - 1/52 = 16/52, which is 4/13.
_Source: NCERT Class 11 Mathematics, Ch 14 'Probability' (kemh114)_
Related questions
For two events, P(A) = 0.54, P(B) = 0.69 and P(A and B) = 0.35. The probability that A occTwo dice are thrown. The probability that the sum of the numbers is at most 4 is:A fair coin is tossed three times. The probability of getting exactly two heads is:One card is drawn from a pack of 52. The probability that it is a red king is:A and B are mutually exclusive, P(not A) = 0.65 and P(A or B) = 0.85. Then P(B) equals:A fair coin is tossed three times. The probability of getting at least one head is:A, B and C are mutually exclusive and exhaustive with P(A) = 1/2 and P(B) = 1/3. Then P(C)One card is drawn from a pack of 52. The probability that it is neither a king nor a queen