Question

Bonus Question The Powerball multi-state lottery is played by picking 5 numbers between 1 and 59 (the white balls) and an additional bonus number between 1 and 39 (the red Powerball). Twice a week 5 white balls and a red Powerball are drawn from two separate drums revealing the winning numbers. To win at Powerball, your numbers must match the numbers on the winning balls in any of the following nine ways: 5 white balls + red Powerball (Grand Prize) 5 white balls ($200,000) 4 white balls + red Powerball ($10,000) 4 white balls ($100) 3 white balls + red Powerball ($100) 3 white balls ($7) 2 white balls + red Powerball ($7) | white ball + red Powerball ($7) No white balls + red Powerball ($7) What is the probability of winning more than $100 in this lottery?

Answer 1

SOLUTION:

GIVEN THAT

Solution:- From the given data, Probability of Wenning more than $100 will occur in following ways: 5 White balls + Red Powerball (Grand Pige) 5 White balls € $ 200,000) 4 While balls + Red Powerball ( $10,000) Also given that 59 kthite and 39 Red Probability klinning grand Prize (56+1R) 'c, x drawns Case @ 5+ 5460 P 59 g 3901 P 0.0000 0000 5122 Case 6 Poobabilily of klinning ($500,000) (SWOR) 5400 &x 360 P = 5x 595 3901 Pe 0.000000 194623 Case @ Poobability klänning ($ 10,000) (4W+AR) 'G, 544 Х 3901 5966 P3 = 0.00000138 2849 This, the required Probabilitih = P, +1₂ +13 P> $100 0.0000015826 -