Question

if the probability of an airplane flight arrives on time is 0.75 find the probability that 2 out of 3 will all arrive on time.

Answer 1

`P((2)/(3))=0.14`

Step-by-step explanation

The probability that a plane will arrive on time is:

`P(on-time)=0.75`

This means that the probability that a plane will not arrive on time is:

`\begin{gathered} P(not-on-time)=1-0.75 \\ P(not-on-time)=0.25 \end{gathered}`

The probability that 2 out of 3 planes will arrive on time is the probability that 2 planes will arrive on time and that one will not arrive on time.

Therefore, we have to find the product of each probability:

`\begin{gathered} P((2)/(3))=0.75\cdot0.75\cdot0.25 \\ P((2)/(3))=0.14 \end{gathered}`