Question

Mike and Ike are experts at pitching horseshoes. 70% of Mike's tosses are ringers. 67% of Ike's tosses are ringers. Suppose Mike and Ike toss 50 horseshoes. Which of the following is closest to the probability that Ike's proportion is ringers is higher than Mike's for those tosses?
A) 0.0002
B) 0.0006
C) 0.2578
D) 0.3745
C) 0.6255

Answer 1

Mike tosses 70%
Ike tosses 67%
Both tosses 50%

Which of the following is closest to the probability that Ike's proportion is ringers is higher than Mike's for those tosses?

P(m) = 70/100
P(i) = 67/100
P(b) = 50/100

= P(b) * P(i) 
= 50/100 * 67/100
= 0.335

The correct answer is letter D) 0.3745.