Ben and Tom each take a driving test.
The probability that Ben and Tom will pass is
0.8 and 0.7, respectively.
Ben
Tom
a) Complete the tree diagram.
0.7 Pass
b) Work out the probability that
both will pass their driving test.
Pass
0.8
Fail
c) Work out the probability that
only one of them will pass their
driving test.
Pass
Fail
SUDAN

Following are the solution to the given points:

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(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