Two cards are drawn successively with replacement from a pack of 52 cards. The probability of drawing two aces is A)1/(169) B) 1/(221) C) 1/(2652) D) 4/(663)

markezop78

markezop78

Answered question

2023-02-15

Two cards are drawn successively with replacement from a pack of 52 cards. The probability of drawing two aces is A1169 B1221 C12652 D4663

Answer & Explanation

Leticia Robertson

Leticia Robertson

Beginner2023-02-16Added 8 answers

The right option is A 1169
Find the required probability:
Total number of cards in a pack =52
Total number of aces in a pack =4
Let A be the event of drawing an ace
pA=452
So, after drawing the first card as an ace we replace it in the pack again.
Thus, the pack again has 52 cards with 4 aces.
The probability of drawing an ace again =452
Both these events are independent events.
Thus, the probability of drawing two successive aces with replacement =452×452
=1132
=1169
Therefore the probability of drawing two successive aces with replacement is 1169.
Therefore, option (A) is the right answer.

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