Answer to Question #233880 in Statistics and Probability for nes

Question

A grade 12 learner from Keetmanshoop is attempting to pass his driver’s test. The probability that he Passes on his first attempt is 3/5. At any further attempt the probability that he passes is 9/10.

a. Draw a tree diagram that illustrates the probabilities of passing at the first, second or third attempt.

b. Find the probability that he needs no more than two attempts to pass the test.

Answer 1

Solution:

a.

b. From the tree diagram, the probability that he needs no more than two attempts to pass the test$=\frac35+\frac25\times\frac9{10}=0.96$