STATISTICS QUESTION

Question

Use the information as the events follow:

Let E₁ be A beats B in round-robin tournament and P(E₁)=0.7

Let E₂ be A beats C in round-robin tournament and P(E₂)=0.8

Let E₃ be B beats C in round-robin tournament and P(E₃)=0.6

(a) What is the probability that A wins both her matches and that B beats C? Correct

(b) What is the probability that A wins both her matches? 

(c) What is the probability that A loses both her matches? 

(d) What is the probability that each person wins one match?

Answer 1

(a) 0.7 x 0.8 x 0.6

(b) 0.7 x 0.8

(c) (1 - 0.7) x (1 - 0.8)

(d)

Possibilities

A beats B A loses to C B beats C

0.7 0.2 0.6 0.7 X 0.2 X 0.6 = 0.084

A beats C A loses to B C beats B

0.8 0.3 0.4 0.8 X 0.3 X 0.4 = 0.096

So probability = 0.084 + 0.096 = 0.18

Mike