Mitchell is one of the goalies for an ice hockey team. He wants to be goalie in the game today, but that depends on who coaches

Question

3 years ago

7

Mitchell is one of the goalies for an ice hockey team. He wants to be goalie in the game today, but that depends on who coaches

the
team today:

If Coach White coaches, the probability of being goalie is 0.55.

If Coach Jackson coaches, the probability of being goalie is 0.35.

If Coach White is the coach 70% of the time, what is the probability that Mitchell will be a goalie today?

Mathematics

1 answer:

seropon [69] · Answer 1 · 2022-04-07T18:19:51+03:00

Answer:

49% probability that Mitchell will be a goalie today

Step-by-step explanation:

Coach White coaches with 70% probability. So 70% of the time, there is a 55% probability that Mitchell is the goalie.

The other 100-70 = 30% of the time, 35% probability that Mitchell will be the goalie.

What is the probability that Mitchell will be a goalie today?

$P = 0.7*0.55 + 0.3*0.35 = 0.49$

49% probability that Mitchell will be a goalie today