Question

On a cold winter morning your car has a 50% chance of starting while your neighbour's car has an 80% chance of starting. Find the probability of each of the following.

a) neither will start

b) both cars will start

c) either both cars will start or neither car will start

d) exactly 1 of the cars will start

Answer 1

P(A)=P(your car will start)=0.50

P(B)=P(neighbours car will start)=0.80

Both events are independent of each other

A) neither will start

P(neither will start)

Probability that neither will start is 0.1

B) both cars will start

Probability that both car will star is 0.4

C) either both car will start or neither car will start

D) exactly one of the car will start

Probability that exactly one of the car will start is 0.5