Probability MCQs with Answers

Past Paper MCQ

A die is rolled twice. Find the probability that 5 will come up both times.

• A.$\frac{1}{36}$
• B.$\frac{1}{6}$
• C.$\frac{1}{12}$
• D.$\frac{5}{36}$

If $P(A \cap B) = P(A) \times P(B)$, then both events are:

• A.Mutually Exclusive
• B.Independent
• C.Equally Likely
• D.Exhaustive

A jar contains 5 marbles, one of each of the colors red, white, blue, green, and yellow. If 4 marbles are removed from the jar, what is the probability that the yellow marble was removed?

• A.$\frac{1}{5}$
• B.$\frac{4}{5}$
• C.$\frac{1}{4}$
• D.$\frac{3}{5}$

A die is rolled. What is the probability that the dots on the top face are greater than 2?

• A.$\frac{1}{3}$
• B.$\frac{1}{2}$
• C.$\frac{2}{3}$
• D.$\frac{5}{6}$

A die is rolled. What is the probability of getting a number which is even and greater than 2?

• A.$\frac{1}{6}$
• B.$\frac{1}{3}$
• C.$\frac{1}{2}$
• D.$\frac{2}{3}$

The sample space for tossing a coin once is:

• A.$\{H, T\}$
• B.$\{H\}$
• C.$\{T\}$
• D.$\{HH, HT, TH, TT\}$

The probability of any event is a value that lies between ?

• A.$-1$ and $1$
• B.$0$ and $1$
• C.$0$ and $\infty$
• D.$-\infty$ and $\infty$

Three unbiased coins are tossed. What is the probability of getting exactly two heads?

• A.$\frac{1}{8}$
• B.$\frac{1}{2}$
• C.$\frac{3}{8}$
• D.$\frac{5}{8}$

If $n = 4$, $p = 0.5$, then the mean of the binomial distribution is?

• A.$1$
• B.$4$
• C.$2$
• D.$8$

Two dice are rolled. What is the probability of getting a 5 on both dice?

• A.$\frac{1}{36}$
• B.$\frac{1}{18}$
• C.$\frac{1}{12}$
• D.$\frac{1}{6}$