Make a tree diagram and find each probability.

a softball game has an 80% chance of being canceled for a light drizzle and a 30% chance of being canceled for a heavy fog when there is no drizzle. there is a 70% chance of heavy fog and a 30% chance of a light drizzle.

a. find the probability that the game will be canceled.
b. find the probability there will be a light drizzle and the game will not be canceled.

be sure to show all work.

 a) probability that the game will be canceled= 45%

b) probability there will be a light drizzle and the game will not be canceled=20%

Step-by-step explanation:

Since we have given that

Probability of heavy fog is given by

Probability of a light drizzle is given by

Probability of getting canceled a softball game due to light drizzle is given by

Probability of getting canceled a softball game due to heavy fog is given by

a. Find the probability that the game will be canceled.

Probability of getting the game be cancelled is given by

b. Find the probability there will be a light drizzle and the game will not be canceled.

Probability that there will be a light drizzle and the game will not be canceled is given by

Hence, a) probability that the game will be canceled= 45%

b) probability there will be a light drizzle and the game will not be canceled=20%

14.29%

step-by-step explanation: