Probability Practice 3: Cards, Selection and Real-life Contexts

Selection Problems

Question 1mcq

A card is drawn from a standard deck of

52

cards. What is the probability of drawing an ace?

A.

\frac{13}{52}

B.

\frac{1}{13}

C.

\frac{1}{4}

D.

\frac{4}{13}

Question 2mcq

From numbers

1

to

20

, one number is selected at random. What is the probability of selecting a square number?

A.

\frac{1}{5}

B.

\frac{1}{4}

C.

\frac{4}{5}

D.

\frac{3}{20}

Question 3mcq

A classroom jar has

6

blue,

4

green and

5

yellow tokens. What is the probability of choosing a green token?

A.

\frac{6}{15}

B.

\frac{5}{15}

C.

\frac{4}{11}

D.

\frac{4}{15}

Question 4mcq

A game spinner has

8

equal sectors:

3

red,

2

blue and

3

yellow. What is the probability of not landing on blue?

A.

\frac{2}{8}

B.

\frac{5}{8}

C.

\frac{3}{4}

D.

\frac{1}{4}

Question 5mcq

A box contains

10

slips numbered

1

to

10

. What is

P(\text{number greater than }6)

?

A.

\frac{1}{2}

B.

\frac{2}{5}

C.

\frac{3}{10}

D.

\frac{4}{5}

Reasoning and Errors

Question 6mcq

For tossing two coins, which sample space is correct?

A.

\{HH,HT,TH,TT\}

B.

\{H,T\}

C.

\{HH,TT\}

D.

\{1,2,3,4\}

Question 7mcq

If the probability of rain tomorrow is

0.3

, then probability of no rain is:

A.

0.3

B.

1.3

C.

0

D.

0.7

Question 8mcq

Which event has probability

0

?

A.Getting heads on a coin

B.Getting a number less than

7

on a die

C.Getting

9

on one standard die

D.Getting an even number on a die

Question 9mcq

Which statement about probability is always true?

A.

P(E)

is always

\frac12

B.

0\leq P(E)\leq1

C.

P(E)>1

D.

P(E)<0

Question 10mcq

Why is it wrong to use classical probability when outcomes are not equally likely?

A.The formula assumes equally likely outcomes.

B.The answer must always be zero.

C.The sample space must be empty.

D.The event must be certain.