Question

The probability that a certain
new film will get an award for its
ne
story is 0.23, the probability that
it will get an award for its music
is 0.15, while the probability that
it will get an award for both is
0.07. What is the probability that
the film will get an award for at
least one of the two?​

Answer 1

Answer:

Probability of winning award for design, P(0)=0.23

Probability of winning award for fuel efficiency P(E)=0.35

Probability of winning both award =0.15=P(D∩E)

P(D)+P(E)=P(D∪E)+P(D∩E)

P(D∪E)=P(D)+P(E)−P(D∩E)

=0.25+0.35−0.15

=0.45

Probability of winning one award =0.45

Probability that it will get only one of them =P(D

1

∩E)+P(D∩E

1

)

=P(D)−P(D∩E)+P(E)−P(D∩E)

=0.25+0.35−2(0.45)

=0.3