Answer to Question #250105 in Statistics and Probability for Joshuah Taylor

Question

On awards day at the end of the year, Jasmine has an 85% chance of winning the top award in English and a 4 out of 5 chance of winning an award for athletics. What's the probability that Jasmine wins both awards?

Answer 1

It is assumed that both awards are independent events. This means winning the top award in English by Jasmine has no impact on her chance in winning an award for athletics. So, the probability of winning both awards by Jasmine is:

P(winning both awards) = P(winning award in English) x P(winning award in athletics)

= 0.85 x (4/5)

= 0.85 x 0.80 = 0.68

There is 68% probability of winning winning both awards by Jasmine.