GMAC Solutions for Chapter: Quantitative Skills, Exercise 3: Practice Questions

A cube has sides numbered $1$through $6$. If the cube is rolled three times, what is the probability that at least one of the rolls will result in a number higher than $4$ ?

There is an$80\%$ chance that Deeksha will skip her lunch and $25\%$ chance that there will be a power failure. If these events are independent, what is the probability that Deeksha will skip her lunch OR that there will be a power failure?

Bag A contains $3$ white and $3$ red beads. Bag $\text{B}$ contains $6$ white and $3$ red beads. One of the two bags will be chosen at random, and then two beads will be drawn from that bag at random without replacement. What is the probability that the two beads drawn will be of the same color?

Two different unbiased dice are rolled together. What is the probability of getting a sum of more than or equal to $10$ after adding the numbers shown on the tops of both the dice?

Two apples and five bananas are defective out of $10$ apples and $20$ bananas contained in a fruit basket. If Sanjeev takes out two fruits at random, what is the probability that either both are bananas, or both are good?

If ‘$\mathrm{M}$’ and ‘$\mathrm{N}$’ are two independent events and $\mathrm{P}\left(\mathrm{M}\right)$ $= 0.5 \text{and} \mathrm{P}\left(\mathrm{N}\right) = 0.4$, find $\mathrm{P}\left(\frac{\mathrm{M}}{\mathrm{N}}\right)$.

The roll numbers of students in the class are in the range from $100$ to $199$(both inclusive). If the teacher selects one student at random, what is the probability that his/her roll number is divisible by $3$ ?

An integer $\mathrm{x}$ is chosen at random from the numbers $1\text{ to} 50$ . Find the probability that $\mathrm{x}+\frac{336}{\mathrm{x}}\le 50$