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Sample Spaces, Events and the Axioms, Quiz

Class 11

Sample Spaces, Events and the Axioms, Quiz

Five questions on sample spaces, events and the axioms of probability. Pick one answer for each.

5 questions, one mark each. 3 to pass. Suggested time: 10 minutes. Your answers are not recorded.

A coin is tossed three times. How many points are in the sample space?

A $8$

B $3$

C $6$

D $9$
A die is rolled. $A$ = odd number, $B$ = number greater than $3$ . Find $A \cap B$ .

A $\{5\}$

B $\{1, 3, 4, 5, 6\}$

C $\{4, 6\}$

D $\{1, 3\}$
A die is rolled. Which pair of events is mutually exclusive and exhaustive?

A "even number" and "odd number"

B "less than $3$ " and "more than $4$ "

C "even number" and "prime number"

D "a $6$ " and "even number"
Which assignment on $S = \{a, b, c\}$ is a valid probability?

A $\displaystyle P(a) = \tfrac{1}{2}$ , $\displaystyle P(b) = \tfrac{3}{4}$ , $\displaystyle P(c) = -\tfrac{1}{4}$

B $\displaystyle P(a) = \tfrac{1}{3}$ , $\displaystyle P(b) = \tfrac{1}{3}$ , $\displaystyle P(c) = \tfrac{1}{6}$

C $\displaystyle P(a) = \tfrac{1}{4}$ , $\displaystyle P(b) = \tfrac{1}{4}$ , $\displaystyle P(c) = \tfrac{1}{2}$

D $\displaystyle P(a) = \tfrac{1}{2}$ , $\displaystyle P(b) = \tfrac{1}{3}$ , $\displaystyle P(c) = \tfrac{1}{4}$
A coin is biased so that heads is $4$ times as likely as tails. Find $P(T)$ .

A $\displaystyle \tfrac{1}{2}$

B $\displaystyle \tfrac{1}{4}$

C $\displaystyle \tfrac{1}{5}$

D $\displaystyle \tfrac{4}{5}$

Unanswered questions are marked wrong.

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