Probability: Mixed Practice, Quiz (Inter 2nd Year)

P(A) = 0.6

,

P(B) = 0.5

and

P(A \cup B) = 0.8

. Find

P(A \mid B)

.

A

0.5

B

0.6

C

0.3

D

0.8

Two cards are drawn from a pack of

52

without replacement. Find the probability that both are hearts.

A

\displaystyle \tfrac{13}{102}

B

\displaystyle \tfrac{1}{17}

C

\displaystyle \tfrac{1}{4}

D

\displaystyle \tfrac{1}{16}

A fair coin is tossed until a head appears. Find the probability that the first head comes on the third toss.

A

\displaystyle \tfrac{1}{4}

B

\displaystyle \tfrac{1}{8}

C

\displaystyle \tfrac{3}{8}

D

\displaystyle \tfrac{1}{3}

Two dice are thrown. Given that the sum is

7

, find the probability that one of the dice shows

2

.

A

\displaystyle \tfrac{1}{6}

B

\displaystyle \tfrac{1}{3}

C

\displaystyle \tfrac{2}{7}

D

\displaystyle \tfrac{1}{18}

In a club,

70\%

of members are boys.

10\%

of the boys and

30\%

of the girls play chess. A chess player is chosen at random. Find the probability that it is a girl.

A

\displaystyle \tfrac{9}{10}

B

\displaystyle \tfrac{9}{16}

C

\displaystyle \tfrac{3}{10}

D

\displaystyle \tfrac{7}{16}

Menu