Probability Practice 2: Complements, Dice and Coins

Complement and Range

Question 1mcq

If

P(E)=\frac{2}{5}

, what is

P(\text{not }E)

?

A.

\frac{2}{5}

B.

\frac{7}{5}

C.

1

D.

\frac{3}{5}

Question 2mcq

In a class, probability that a randomly chosen student takes the bus is

0.65

. What is the probability that the student does not take the bus?

A.

1.65

B.

0.45

C.

0.35

D.

0.65

Question 3mcq

What is the probability of getting a number less than

7

when rolling one standard die?

A.

\frac{5}{6}

B.

1

C.

0

D.

\frac{1}{6}

Question 4mcq

What is the probability of drawing a black ball from a bag containing only red balls?

A.

0

B.

1

C.

\frac{1}{2}

D.Cannot be between

0

and

1

Dice and Coin Problems

Question 5mcq

One die is rolled. What is the probability of getting a factor of

6

?

A.

\frac{1}{2}

B.

\frac{1}{3}

C.

\frac{5}{6}

D.

\frac{2}{3}

Question 6mcq

Two dice are rolled. What is the probability that the sum is

7

?

A.

\frac{1}{12}

B.

\frac{5}{36}

C.

\frac{1}{6}

D.

\frac{7}{36}

Question 7mcq

Two coins are tossed. What is the probability of getting exactly one head?

A.

1

B.

\frac{1}{2}

C.

\frac{1}{4}

D.

\frac{3}{4}

Question 8mcq

Three coins are tossed. What is the probability of getting all tails?

A.

\frac{1}{8}

B.

\frac{1}{3}

C.

\frac{1}{2}

D.

\frac{3}{8}

Question 9mcq

A student reports a probability of

\frac{9}{8}

. What should you say?

A.It is valid for dice only.

B.It means impossible event.

C.It means certain event.

D.It is invalid because it is greater than

1

.

Question 10mcq

A student uses denominator

5

when finding probability of an even number on a die because there are

5

unwanted outcomes. What is the correction?

A.The answer must be

1

.

B.The denominator should be

3

.

C.The denominator should be total equally likely outcomes,

6

.

D.The denominator should be favourable outcomes only.