A container contains 12 diesel engines. The company chooses 5 engines at random, and will not ship the container if any of the

Question

3 years ago

5

engines chosen are defective. Find the probability that a container will be shipped even though it contains 2 defectives if the sample size is 5.

1 answer:

Rufina [12.5K] · Answer 1 · 2022-06-14T19:36:27+03:00

Answer: $\frac{^{10}C_5}{^{12}C_5}$

Step-by-step explanation:

Given a total of 12 diesel engines

out of which 2 are defective

Company have to choose 5 good engines to ship.

Therefore no of ways in good engines are selected is $^{10}C_5$

no of ways in which any 5 engines are selected from a total of 12 engines is

$^{12}C_5$

Therefore the required probability = $\frac{^{10}C_5}{^{12}C_5}$

= $\frac{7}{22}$ =0.318

A container contains 12 diesel engines. The company chooses 5 engines at​ random, and will not ship the container if any of the