Probability MCQs with Answers

A box contains 5 red balls, 4 blue balls and 3 green balls. Two balls are drawn at random without replacement. What is the probability that both balls are of different colors?

• A.$\frac{19}{33}$
• B.$\frac{19}{66}$
• C.$\frac{47}{132}$
• D.$\frac{47}{66}$

In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?

• A.$\frac{1}{2}$
• B.$\frac{2}{3}$
• C.$\frac{7}{21}$
• D.$\frac{1}{3}$

A bag contains 4 red balls, 6 green balls, and 5 blue balls. What is the probability of drawing a red ball?

• A.$\frac{1}{3}$
• B.$\frac{4}{11}$
• C.$\frac{2}{5}$
• D.$\frac{4}{15}$

What is the probability that the sum of the numbers on two rolled dice is 7?

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

In a Hardy-Weinberg population with two alleles, $A$ and $a$, that are in equilibrium, the frequency of allele $a$ is $0.2$. What is the frequency of individuals with $Aa$ genotype?

• A.$0.04$
• B.$0.32$
• C.$0.64$
• D.$0.80$

What is the probability of an event occurring in the context of interest rate calculations?

• A.Trigonometric ratio
• B.Algebraic identity
• C.Geometric progression
• D.Statistical operation

A man has 42 blue socks, 15 red socks, and 24 black socks in one box. It is totally dark and he cannot recognize the colors. How many socks does he have to take out of the box into the light in order to be sure to have at least two black socks?

• A.57
• B.61
• C.59
• D.63

Past Paper MCQ

Which of the following correctly represents the relation for mutually exclusive events?

• A.$A \cap B = A \cup B$
• B.$A \cup B = \emptyset$
• C.$A \cap B = \emptyset$
• D.$A \cap B = S$ (where $S$ is the sample space)

If the probability of an event lies between $0.5$ and $1$, what can be said about the event?

• A.It is impossible
• B.It is less likely to happen
• C.It is more likely to happen
• D.It is equally likely to happen or not happen

A jar contains 5 marbles, one of each color: red, white, blue, yellow, and green. 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.$\frac{3}{5}$