Question

A local euchre champion wins 78% of the games she plays. She plays 16 games in a tournament.

A. What is the probability she wins 12 or more games?

B. What is the probability she wins fewer than 8 games?

C. What is the probability she wins exactly 10 games?

Answer 1

Use excel formula "=BINOM.DIST(x, n, p, FALSE)"

x	Excel formula	P(X=x) [rounded to four decimal places]
0	=BINOM.DIST(0, 16, 0.78, FALSE)	0.0000
1	=BINOM.DIST(1, 16, 0.78, FALSE)	0.0000
2	=BINOM.DIST(2, 16, 0.78, FALSE)	0.0000
3	=BINOM.DIST(3, 16, 0.78, FALSE)	0.0000
4	=BINOM.DIST(4, 16, 0.78, FALSE)	0.0000
5	=BINOM.DIST(5, 16, 0.78, FALSE)	0.0001
6	=BINOM.DIST(6, 16, 0.78, FALSE)	0.0005
7	=BINOM.DIST(7, 16, 0.78, FALSE)	0.0024
8	=BINOM.DIST(8, 16, 0.78, FALSE)	0.0097
9	=BINOM.DIST(9, 16, 0.78, FALSE)	0.0305
10	=BINOM.DIST(10, 16, 0.78, FALSE)	0.0757
11	=BINOM.DIST(11, 16, 0.78, FALSE)	0.1464

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