4. a stack of playing cards contains 4 jacks, 5 queens, 3 kings, and 3 aces. two cards will be randomly selected from the stack. what is the probability that a queen is chosen and replaced, and then a queen is chosen again?

➷ 5 + 3 + 3 + 4 = 15

5/15 * 5/15 = 25/225

This can be simplified to 1/9

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Total cards = 4 + 5 + 3 + 3 = 15 cards.

There are 5 queens, picking 1 queen would equal 5/15 which reduces to 1/3.

Because the queen is replaced and then you pick again, the probability would be the same as the first time. 1/3.

To find the overall probability of picking 2 queens, multiply each probability together: 1/3 x 1/3 = 1/9 total probability.

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step-by-step explanation:

the number of possible outcomes that do not show a 1 on the first spinner and show the number 4 on the second spinner is 2.

spinner 1 spinner 2

1                     1

1                     2

1                     3

1                     4

2                   1

2                   2

2                   3

2                   4   = not 1, and 4

3                   1

3                   2

3                   3

3                   4 = not 1, and 4

only 2 outcomes have passed the given condition.

step-by-step explanation: