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Suppose that two cards are randomly selected from a standard 52-card deck. (a) What is the probability that the first card is a spadespade and the second card is a spadespade if the sampling is done without replacement? (b) What is the probability that the first card is a spadespade and the second card is a spadespade if the sampling is done with replacement?

User Basanta
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1 Answer

2 votes

Answer:

a.
(1)/(17)

b.
(1)/(16)

Explanation:

We are given that two cards are drawn are randomly selected from a standard 52- cards deck.

Total cards=52

Total number of spade cards=13

Probability=
(number\;of\;favourable\;cases)/(total\;number\;of cases)

a.The probability of drawing two cards first card is spade and second card is spade without replacement =
(13)/(52)* (12)/(51)

The probability of drawing two cards first card is spade and second card is spade=
(1)/(17)

b. The probability of drawing two cards first is spade and second card is a spade with replacement =
(13)/(52)*(13)/(52)

The probability of drawing two cards first is spade and second card is a spade with replacement =
(1)/(16)

User Svarog
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