Probability, Course Quiz (Inter 1st Year)

A die is rolled and a coin is tossed. How many points are in the sample space?

A

12

B

36

C

8

D

6

What is the probability of the impossible event

\varnothing

?

A

0

B undefined

C

1

D

\displaystyle \tfrac{1}{2}

Two dice are rolled. Find

P(\text{doublet})

.

A

\displaystyle \tfrac{1}{3}

B

\displaystyle \tfrac{1}{12}

C

\displaystyle \tfrac{1}{6}

D

\displaystyle \tfrac{1}{36}

Two dice are rolled. Find

P(\text{sum} \ge 10)

.

A

\displaystyle \tfrac{1}{6}

B

\displaystyle \tfrac{5}{36}

C

\displaystyle \tfrac{1}{12}

D

\displaystyle \tfrac{1}{4}

Three coins are tossed. Find

P(\text{at least one head})

.

A

\displaystyle \tfrac{7}{8}

B

\displaystyle \tfrac{1}{8}

C

\displaystyle \tfrac{3}{8}

D

\displaystyle \tfrac{1}{2}

A card is drawn. Find

P(\text{heart or diamond})

.

A

\displaystyle \tfrac{3}{4}

B

\displaystyle \tfrac{1}{2}

C

\displaystyle \tfrac{1}{16}

D

\displaystyle \tfrac{1}{4}

If

P(E) = 0.3

, find

P(E^\prime)

.

A

0.7

B

0.3

C

0.03

D

1.3

A number is chosen from

1

to

100

. Find

P(\text{divisible by } 4 \text{ or } 5)

.

A

\displaystyle \tfrac{9}{20}

B

\displaystyle \tfrac{1}{2}

C

\displaystyle \tfrac{2}{5}

D

\displaystyle \tfrac{1}{20}

Two cards are drawn from a pack of

52

. Find

P(\text{both are aces})

.

A

\displaystyle \tfrac{2}{13}

B

\displaystyle \tfrac{1}{169}

C

\displaystyle \tfrac{1}{26}

D

\displaystyle \tfrac{1}{221}

A

and

B

are mutually exclusive with

P(A) = 0.35

and

P(B) = 0.45

. Find

P(A \cup B)

.

A

0.1575

B

0.1

C

0.65

D

0.8

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Probability, Course Quiz

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