Question

PLEASE HELP ASAP (Algebra 2 Conditional Probability) Thanks!

Draw a tree diagram. Find the 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 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.

PLEASE HELP I DONT UNDERSTAND WHAT I MUST DO TO FIND THE ANSWERS!

Answer 1

From the probability tree drawn above:
The probability of the game being canceled given a heavy fog is 0.7 * 0.3 = 0.21.
The probability of the game being canceled given a light drizzle is 0.3 * 0.8 = 0.24.
A. The probability of the game being canceled is the sum of the above two values of conditional probability: 0.21 + 0.24 = 0.45.