Question

Phil wants to play full-back for his football team. The decision depends on who serves as head coach for a given game. Coach Sal is head coach about 75% of the time, and Coach Benny is head coach other 25% of the time. Coach Sal has faith in Phil, so he starts him at full-back in 70% of the games he coaches. Coach Benny is not so sure, so he starts Phil at full-back 30% of the time. What is the probability of Phil starting as full-back for the next game?0.3980.60.40.24

Answer 1

Given that

Coach Sal is the head coach about 75% of the time and coach Benny is the coach for the remaining 25% of the time.

Sal has faith in Phil, so he full-back in 70% of the time and Benny had the faith, so he full-back 30% of the time.

Explanation -

Since the coach, Sal is the coach for 75% of the time and Benny is for 25% of the time.

Also, Sal's faith in full-back is 70% and Benny's faith in full-back is 30%.

Then,

75% of 70% = 75/100 x 70/100 = 0.525

25% of 30% = 25/100 x 30/100 = 0.075

So the final probability of Phil will be 0.525 + 0.075 = 0.6

Final answer -

So the final answer is 0.6.Hence option B is correct.