Question

Asked Sep 19, 2019

You draw two cards from a standard deck of 52 cards, but before you draw the second card, you put the first one back and reshuffle the deck.

(a) Are the outcomes on the two cards independent? Why?

(b) Find*P*(ace on 1st card *and* king on 2nd). (Enter your answer as a fraction.)

(c) Find*P*(king on 1st card *and* ace on 2nd). (Enter your answer as a fraction.)

(d) Find the probability of drawing an ace*and* a king in either order. (Enter your answer as a fraction.)

Yes. The probability of drawing a specific second card is the same regardless of the identity of the first drawn card.No. The events cannot occur together. Yes. The events can occur together.No. The probability of drawing a specific second card depends on the identity of the first card.

(b) Find

(c) Find

(d) Find the probability of drawing an ace

Step 1

(a)

If the outcomes of the two cards are independent, then the probability of drawing a specific second card is the same regardless of the identity of the first drawn card.

Hence, the probability of drawing a specific second card is the same regardless of the identity of the first drawn card.

Thus, the correct statement is “Yes. The probability of drawing a specific second card is the same regardless of the identity of the first drawn card”.

(b)

The value of *P *(ace on 1st card *and* king on 2nd) is obtained below:

Step 2

Thus, the value of *P *(ace on 1st card *and* king on 2nd) is **1/169**.

(c)

The value of *P*(king on 1st card *and* ace on 2nd) is obtained below:

Step 3

Thus, the value of *P*(king on 1st card *and* ace on 2nd) is **1/169**.

(d)

The probability of drawing an...

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