A single die is rolled twice. Find the probability of rolling a 4 the first time

Question

A single die is rolled twice. Find the probability of rolling a 4 the first time and a 1 the second time.

a seven the first time and a club the second time.

A coin is tossed and a die is rolled. Find the probability of getting a tail and a number greater than 1.

Elizabeth brought a box of donuts to share. There are two-dozen (24) donuts in the box, all identical in size, shape, and color. Five are jelly-filled, 9 are lemon-filled, and 10

are custard-filled. You randomly select one donut, eat it, and select another donut. Find the probability of selecting two lemon -filled donuts in a row.

You draw one card from a 52-card deck. Then the card is replaced in the deck and the deck is shuffled, and you draw again. Find the probability of drawing

Explanation / Answer

a) probability of rolling a 4 the first time and a 1 the second time = 1/36

b) Probability of drawing a seven the first time and a club the second time = (4/52)*(13/52) = 1/52

c) Probability of getting a tail and a number greater than 1 = (1/2)*(5/6) = 5/12

d)  Probability of selecting two lemon -filled donuts in a row = (9/24)*(8/23) = 3/23

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