contestada

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

Respuesta :

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

Ver imagen Newton9022

Following are the solution to the given points:

  • For point a please find the attached file.
  • The likelihood of both passing their driving tests is [tex]\bold{p=0.8\times 0.7=0.56}[/tex] Since both they pass their driving test at the same time, so we multiply the chance of each one, yielding a result of "56%".
  • Ben succeeds but Tom fails, or Ben fails but Tom pass. So, the probability is [tex]\bold{p=0.8 \times 0.3 +0.2 \times 0.7=0.24+0.14=0.38}[/tex] and the answer is "38%".

Learn more:

brainly.com/question/16385932

Ver imagen codiepienagoya