Question

The probability of a teenager in a locality owning a bike is 0.33, of owning a car is 0.16 and of owning both is 0.11. If a teenager is chosen random from the locality, what is the probability that the teenager owns a bike or a car? a)0.34 b)0.36 c)0.38 d)0.40

Answer 1

C) 0.38

Step-by-step explanation:

Given the below;

p(owning a bike) = 0.33

p(owning a car) = 0.16

p(owning both) = 0.11

We'll use the below formula to determine the probability of owning a bike or a car;

`\begin{gathered} p(\text{ owning a bike or a car) = }p(\text{ owning a bike) + p(owning a car) - p(owning both)} \\ \end{gathered}`

Substituting the given values, we'll have;

`\begin{gathered} p(\text{ owning a bike or a car) = }0.33+0.16-0.11 \\ =0.38 \end{gathered}`