Answer:
Explanation:
The probability Mrs. Walker will pick all 32 of the first round games correctly is given by:
0.56^32 = 1.56789e-10
To find the probability that Mrs. Walker will pick exactly 8 games correctly in the first round, we can use the binomial formula:
P(x=8) = 32 choose 8 * 0.56^8 * (1-0.56)^(32-8)
Where 32 choose 8 is the number of ways to choose 8 games out of 32.
To find the probability that Mrs. Walker will pick exactly 28 games incorrectly in the first round, we can use the same formula as in 2:
P(x=4) = 32 choose 4 * 0.56^4 * (1-0.56)^(32-4)