Question bank

TMUA-P1-MSTAT-001

Two fair six-sided dice are rolled. What is the probability that the total is $9$?

TMUA-P1-MSTAT-002

What is the mean of $4, 7, 9, 12$ and $8$?

TMUA-P1-MSTAT-003

In a class, $10$ boys average $70$ marks and $15$ girls average $80$ marks. What is the overall class mean?

TMUA-P1-MSTAT-004

The probability it rains on any given day is $0.3$, independently. What is the probability it stays dry on both Saturday…

TMUA-P1-MSTAT-005

A bag holds $4$ red and $6$ blue counters. Two are drawn at random without replacement. What is the probability both are…

TMUA-P1-MSTAT-006

$1$ in $10$ people carries a trait. A test is $90\%$ accurate both ways (true-positive and true-negative rates are $0.9$…

TMUA-P1-MSTAT-007

A fair coin is tossed three times. What is the probability of getting three heads?

TMUA-P1-MSTAT-008

A fair six-sided die is rolled. Given that the result is even, what is the probability that it is a $6$?

TMUA-P1-MSTAT-009

The probability it rains on any given day is $0.2$, independently. What is the probability it stays dry on both Saturday…

TMUA-P1-MSTAT-010

A basketball player scores each free throw with probability $0.8$, independently. She takes two free throws. What is the…

TMUA-P1-MSTAT-011

A bag holds $3$ red and $3$ blue counters. Two are drawn at random without replacement. What is the probability of getti…

TMUA-P1-MSTAT-012

A bag holds $4$ green and $2$ yellow counters. Two are drawn at random without replacement. Given that the first counter…

TMUA-P1-MSTAT-013

In a class of $30$ pupils, $18$ study French, $12$ study German, and $5$ study both. A pupil who studies French is chose…

TMUA-P1-MSTAT-014

$1$ in $5$ people carries a trait. A test is $90\%$ accurate both ways (true-positive and true-negative rates are $0.9$)…

TMUA-P1-MSTAT-015

A bag holds $5$ red and $5$ blue counters. Three are drawn at random without replacement. What is the probability all th…

TMUA-P1-MSTAT-016

A biased coin lands heads with probability $\frac{1}{3}$. It is tossed twice. Given that at least one toss lands heads,…

TMUA-P1X-MSTAT-01

What is the mean of $3, 5, 7, 9$ and $11$?

TMUA-P1X-MSTAT-02

A fair coin is tossed twice. What is the probability of getting two heads, i.e. $P(H, H)$?

TMUA-P1X-MSTAT-03

In a group, $8$ boys average $60$ marks and $12$ girls average $75$ marks. What is the overall mean?

TMUA-P1X-MSTAT-04

The probability it rains on any given day is $0.4$, independently. What is the probability it rains on exactly one of Sa…

TMUA-P1X-MSTAT-05

A bag holds $5$ green and $3$ yellow counters. Two are drawn at random without replacement. What is the probability both…

TMUA-P1X-MSTAT-06

A bag holds $3$ red and $7$ blue counters. Two are drawn at random without replacement. Given that the first counter dra…

TMUA-P1X-MSTAT-07

$1$ in $10$ people carries a gene. A test is $80\%$ accurate both ways (true-positive and true-negative rates are $0.8$)…