The probability that a plane will leave Winnipeg on time is 0.70. The probability that a plane will leave Winnipeg on time and arrive in Calgary on time is 0.56. Given that a plane left Winnipeg on time, determine the probability the same plane will arrive in Calgary on time.

P ( A ) = P (leave Winnipeg on time) = 0.70

P ( A and B ) = P ( A B ) = P (arrive in Calgary on time and leave Winnipeg on time) = 0.56

P ( B | A ) = P (arrive Calgary on time given leave Winnipeg on time) = ?

The probability that the plane will arrive in Calgary on time given that it left Winnipeg on time is 0.80 or 80%.

 

 

Watch the video to see more examples involving conditional probability.

 

Read pages 185-186 Example 3 in your textbook, Principles of Mathematics 12 .

Complete the Your Turn question on page 186 (a) for more practice on conditional probability.

Click here to verify your answer .

 

When much background information is known about a situation, predictions of future events are possible. A probability tree diagram helps sort this information as you proceed through the problem. Read in your textbook to see how.

 

Read pages 186-187 Example 4 in your textbook, Principles of Mathematics 12 .

Complete the Your Turn questions on page 187 (a & b) for more practice on making predictions using dependent events.

Click here to verify your answers .

Read page 188 In Summary and page 197 In Summary in your textbook, Principles of Mathematics 12 .