Question

Ben and Tom each take a driving test.

Answer 1

Answer:

(b)0.56

(c)0.38

Step-by-step explanation:

(a)The tree diagram is attached.

P(Ben Fails)=1-0.8=0.2

P(Tom Fails)=1-0.7=0.3

(b)Probability that  both will pass their driving test.

P(both will pass)=0.8 X 0.7 =0.56

(c)Probability that  only one of them will pass their  driving test.

P(Tom Bass, Ben Fails OR Ben Pass, Tom Fails)

=(0.7 X 0.2)+(0.8 X 0.3)

=0.14+0.24

=0.38