Probability, Course Quiz

A fair die is rolled. What is the probability of a prime number?

A

\displaystyle \dfrac{1}{2}

B

\displaystyle \dfrac{1}{3}

C

\displaystyle \dfrac{2}{3}

D

\displaystyle \dfrac{1}{6}

The probability of a sure event is:

A

0

B

100

C

1

D

\displaystyle \dfrac{1}{2}

A bag has

4

green and

8

yellow marbles. What is

P(\text{green})

?

A

\displaystyle \dfrac{1}{3}

B

\displaystyle \dfrac{1}{4}

C

\displaystyle \dfrac{2}{3}

D

\displaystyle \dfrac{1}{2}

P(\text{rain}) = 0.4

. What is

P(\text{no rain})

?

A

0.4

B

0.06

C

1.4

D

0.6

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

A

\displaystyle \dfrac{3}{4}

B

\displaystyle \dfrac{1}{2}

C

\displaystyle \dfrac{1}{4}

D

\displaystyle \dfrac{1}{3}

Two dice are rolled. What is the probability of a doublet (same number on both)?

A

\displaystyle \dfrac{1}{12}

B

\displaystyle \dfrac{6}{11}

C

\displaystyle \dfrac{1}{36}

D

\displaystyle \dfrac{1}{6}

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

5

?

A

\displaystyle \dfrac{5}{36}

B

\displaystyle \dfrac{1}{12}

C

\displaystyle \dfrac{1}{9}

D

\displaystyle \dfrac{1}{11}

A card is drawn from a pack of

52

. What is the probability it is an ace?

A

\displaystyle \dfrac{1}{13}

B

\displaystyle \dfrac{1}{52}

C

\displaystyle \dfrac{1}{4}

D

\displaystyle \dfrac{4}{13}

A card is drawn from a pack of

52

. What is the probability it is a black card that is not a face card?

A

\displaystyle \dfrac{10}{13}

B

\displaystyle \dfrac{3}{26}

C

\displaystyle \dfrac{1}{2}

D

\displaystyle \dfrac{5}{13}

A jar has

x

blue and

12

red sweets. If

\displaystyle P(\text{blue}) = \dfrac{2}{5}

, find

x

.

A

18

B

8

C

4.8

D

6

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