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lorasvet [3.4K]
4 years ago
10

Suppose that two cards are randomly selected from a standard​ 52-card deck. ​(a) what is the probability that the first card is

a queen and the second card is a queen if the sampling is done without​ replacement? ​(b) what is the probability that the first card is a queen and the second card is a queen if the sampling is done with​ replacement?
Mathematics
1 answer:
eduard4 years ago
8 0
<span><span>You draw a queen on the first draw and one on the second<span><span><span>4/52 </span>∗ <span>3/51 </span>= <span>12/2652 </span>= <span>1/22 </span></span></span></span><span>
You draw something other than a queen on the first draw and a queen on the second<span><span><span>
48/52 </span>∗ <span>4/51 </span>= <span>192/2652</span>=<span>16/221</span></span></span></span></span>

So in total, the chance is:

<span><span><span>1/221 </span>+ <span>16/221 </span>= <span>17/221</span>=
<span>4/52</span></span></span>

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