M L Aggarwal Solutions for Chapter: Probability, Exercise 3: EXERCISE

A housewife buys a dozen eggs of which two turn out rotten. She chooses four eggs to scramble for breakfast. Find the chance that she chooses all good eggs.

[Correct the answer to two decimal places]

A housewife buys a dozen eggs of which two turn out rotten. She chooses four eggs to scramble for breakfast. Find the chance that she chooses three good and one bad.

[Correct the answer to two decimal places]

A housewife buys a dozen eggs of which two turn out rotten. She chooses four eggs to scramble for breakfast. Find the chance that she chooses two good and two bad.

[Correct the answer to two decimal places]

A housewife buys a dozen eggs of which two turn out rotten. She chooses four eggs to scramble for breakfast. Find the chance that she chooses at least one bad egg.

[Correct the answer to three decimal places]

In a group, there are $3$ men and $2$ women. Three persons are selected at random from this group. Find the probability that $1$ man and $2$ women or $2$ men and $1$ woman are selected.

[Correct the answer to one decimal place]

Out of $8$ points in a plane, $5$ are collinear. Find the probability that $3$ points selected at random will form a triangle.

[Correct the answer to two decimal place]

In a relay race, there are six teams $\mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D}, \mathrm{E}, \mathrm{F}$. What is the probability that $\mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D}$ finish first, second, third and fourth respectively.

[Correct the answer to two decimal place]

In a relay race, there are six teams $\mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D}, \mathrm{E}, \mathrm{F}$. What is the probability that $\mathrm{A}, \mathrm{B}, \mathrm{C}$ and $\mathrm{D}$ are first four to finish (in any order). Assume that all finishing orders are equally likely.

[Correct the answer to two decimal place]