How to find the conditional probability from a tree diagram

The video tutorial discusses a probability problem involving the likelihood of fog and a game being canceled. It explains how to calculate the probability of both events occurring by multiplying their individual probabilities. The probability of fog is given as 70%, and the probability of game cancellation is 30%. By multiplying these probabilities, the result is 21%, indicating the chance of both events happening together.

What is the main problem discussed in the video?

• The probability of a game being rescheduled.

• The probability of fog causing game cancellation.

• The probability of rain affecting the game.

• The probability of a sunny day.

What is the probability of fog occurring?

• 70%

• 60%

• 80%

• 50%

What is the probability of the game being cancelled?

• 40%

• 10%

• 20%

• 30%

How do you calculate the combined probability of fog and game cancellation?

• Add the probabilities of fog and cancellation.

• Subtract the probability of cancellation from fog.

• Multiply the probabilities of fog and cancellation.

• Divide the probability of fog by cancellation.

What is the final combined probability of fog and game cancellation?

• 30%

• 21%

• 25%

• 15%