41. The probability of drawing a red card from a deck of playing cards is

- Option : D
- Explanation : Number of red cards = 26. Total number of cards = 52. ∴ Required probability = 26/52 = 1/2

- Option : C
- Explanation : Prime numbers from the given set are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41,43,47. ∴ Number of primes = 15 ∴ Required probability = 15/50 = 3/10 =0.3

- Option : C
- Explanation : P(A) = 0.3 and P(AUB) = 0.8 .

Since, A and B are independent events.

Let P(B) = x

Then, P(A∩B) =P(A) P(B)

= 0.3 × x = O.3x

Again, by addition theorem

P(AUB) = P(A) + P(B) - P(A∩B).

⇒0.8 = 0.3 + x - O.3x ⇒ 0.5 = 0.7x

X=5/7

- Option : A
- Explanation : Probability of getting a king = 4/52 = 1/13. Probability of not getting a king = 1 - 1/13 = 12/13.

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