Powerball is a lottery game where 5 white balls are drawn from a drum with 59 ba

Question

Powerball is a lottery game where 5 white balls are drawn from a drum with 59 balls (numbered 1-59) and one red ball is drawn from a drum with 35 balls (numbered 1-35). Players guess the value of all balls and win a prize if they guess correctly. Players win the following amounts based on the indicated matching sequence. Calculate the probability of winning each of the prizes listed below.

2. Powerball is a lottery game where 5 white balls are drawn from a drum with 59 balls (numbered 1-59) and one red ball is drawn from a drum with 35 balls (umbered 1-35). Players guess the value of all balls and win a prize if they guess correctly. Players win the following amounts based on the indicated matching sequence. Calculate the probability of winning each of the prizes listed below. (9 pts) Matching sequence Pick all 6 correctly Pick 5 white balls corectly Pick 4 white balls +1 red ball corectly $10,000 Pick 4 white balls corectly Pick 3 white balls +1 red ball corectly $100 Pick 3 white balls corectly Pick 2 white balls1 red ball corectly 7 Pick 1 white ball 1 red ball correctly Pick 1 red ball correctly Amount $10,000,000 1,000,000 $100 $7 $4 S4.

Explanation / Answer

a) All 6 correctly = 1/ 59C5 * 1/35

b) All 5 correct = 1/59C5 * 34/35

c) 4 correct and red correct - 1/59C5 * 5*54 * 1/35

d) 4 correct = 1/59C5 * 5*54 * 34/35

Please post the other parts individually.

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