A married couple wants to enjoy the weather of hill stations at Murree and Abbottabad. The probabilities of enjoying weather at Murree and Abbottabad are respectively 0.50 and .12. What is the probability that a couple will enjoy at least one of these two hill stations?

 

A married couple wants to enjoy the weather of hill stations at Murree and Abbottabad. The probabilities of enjoying weather at Murree and Abbottabad are respectively 0.50 and .12.

What is the probability that a couple will enjoy at least one of these two hill stations?

 

             TREE DIAGRAM

Event-1 = Weather of hill station at Murree

Event-2 = Weather of hill station at Abbottabad

P(E1) = 0.5

P(E2) = 0.12

P’(E1) = 1 – 0.5

            = 0.5

P’(E2) = 1 – 0.12

            = 0.88

P(E1 Ռ E2)’ = 0.5 * 0.88

                     = 0.44

P( couple will enjoy at least one of these two hill stations) = 1- 0.44

                                                                                              = 0.56

                                                                                              = 56%

 

What concept of the events do you give to these two hill stations?                      

We use the concept the mutually exclusive events. Because these two events can’t occurred at a time.