DATA MANAGEMENT MULTIPLE CHOICE QUESTIONS AND
ANSWERS | DATA MANAGEMENT STUDY GUIDE & PRACTICE
TEST 2026/2027
Two coins are tossed simultaneously. What is the probability of tossing two heads? - Correct
answer ✔✔ ¼
A coin is tossed three times. What is the probability of tossing at least two heads? - Correct
answer ✔✔ ½
Two standard dice are rolled. What is the probability of rolling a total of 9? - Correct answer ✔✔
1/9
If the probability of rain tomorrow is 65%, what is the probability that it will not rain tomorrow?
- Correct answer ✔✔ 0.35
Two identical spinners each have five equal sectors that are numbered 1 to 5. What is the
probability of a total less than 9 when you spin both these spinners? - Correct answer ✔✔
22/25
A group of volleyball players consists of four grade-11 students and six grade-12 students. If six
players are chosen at random to start a match, what is the probability that three will be from
each grade? - Correct answer ✔✔ ⅔
Without looking, Jenny randomly selects two socks from a drawer containing four blue, three
white, and five black socks, none of which are paired up. What is the probability that she
chooses two socks of the same colour? - Correct answer ✔✔ 19/66
,A bag contains 26 tiles, each marked with a different letter of the alphabet. What is the
probability of being able to spell the word math with four randomly selected tiles that are taken
from the bag all at the same time? - Correct answer ✔✔ 1/14950
What is the probability that three standard dice rolled simultaneously will all land with the same
the same number facing up? - Correct answer ✔✔ 1/36
A coin is flipped and a card is drawn from a standard deck of cards. What is the probability of
getting both heads and a red face card? - Correct answer ✔✔ 3/52
A bag contains three green marbles and four black marbles. If you randomly pick two marbles
from the bag at the same time, what is the probability that both marbles will be black? - Correct
answer ✔✔ 2/7
Which of the following pairs of events is mutually exclusive? - Correct answer ✔✔ Electing a
female class president or electing a male class president
If P(A) = 0.4 and P(B) = 0.2, and A and B are mutually exclusive events, which one of the
following statements is true? - Correct answer ✔✔ P(A and B) = 0
If two standard dice are rolled, what is the probability of a total of 10 or a pair (doubles)? -
Correct answer ✔✔ 2/9
What is the probability of randomly selecting either a club or a non-face card from a standard
deck of cards? - Correct answer ✔✔ 43/52
In a particular class, the probability of a student having blue eyes is 0.3, of having both blue eyes
and blonde hair is 0.2, and of having neither blue eyes nor blonde hair is 0.5. What is the
probability that a student in this class has blonde hair? - Correct answer ✔✔ 0.2
, Twelve people at a party shake hands once with everyone else in the room. How many
handshakes took place? - Correct answer ✔✔ 66
In how many ways can a committee with nine members form a subcommittee with at least one
person on it? - Correct answer ✔✔ 511
How many different combination of trees could you buy if your local garden centre has only four
cedar trees and three apple trees in stock? - Correct answer ✔✔ 19
From a deck of 52 cards, a 6-card hand is dealt. How many distinct hands are there if the hand
must contain 2 spades and 3 diamonds? - Correct answer ✔✔ 13C2 x 13C3 x 26C1
There are 9 people participating in a raffle. Three $50 gift cards are being awarded to the
winners. How many ways can the gift cards be awarded? - Correct answer ✔✔ 84
If each of the 8 teams in a league must play each other three times, how many games will be
played? - Correct answer ✔✔ 8C2 + 8C2 + 8C2
Nine students are split into three equal-sized groups to work on a collaborative assignment.
How many ways can this be done? - Correct answer ✔✔ 1680
In the game board shown, the disc Ø can move diagonally toward the top of the board. If a solid
square is encountered, the disc is blocked and may neither move into that square nor jump over
it. How many paths are there to the top of the board? - Correct answer ✔✔ 8
The entries in row 4 of Pascal's triangle are - Correct answer ✔✔ 1 4 6 4 1
ANSWERS | DATA MANAGEMENT STUDY GUIDE & PRACTICE
TEST 2026/2027
Two coins are tossed simultaneously. What is the probability of tossing two heads? - Correct
answer ✔✔ ¼
A coin is tossed three times. What is the probability of tossing at least two heads? - Correct
answer ✔✔ ½
Two standard dice are rolled. What is the probability of rolling a total of 9? - Correct answer ✔✔
1/9
If the probability of rain tomorrow is 65%, what is the probability that it will not rain tomorrow?
- Correct answer ✔✔ 0.35
Two identical spinners each have five equal sectors that are numbered 1 to 5. What is the
probability of a total less than 9 when you spin both these spinners? - Correct answer ✔✔
22/25
A group of volleyball players consists of four grade-11 students and six grade-12 students. If six
players are chosen at random to start a match, what is the probability that three will be from
each grade? - Correct answer ✔✔ ⅔
Without looking, Jenny randomly selects two socks from a drawer containing four blue, three
white, and five black socks, none of which are paired up. What is the probability that she
chooses two socks of the same colour? - Correct answer ✔✔ 19/66
,A bag contains 26 tiles, each marked with a different letter of the alphabet. What is the
probability of being able to spell the word math with four randomly selected tiles that are taken
from the bag all at the same time? - Correct answer ✔✔ 1/14950
What is the probability that three standard dice rolled simultaneously will all land with the same
the same number facing up? - Correct answer ✔✔ 1/36
A coin is flipped and a card is drawn from a standard deck of cards. What is the probability of
getting both heads and a red face card? - Correct answer ✔✔ 3/52
A bag contains three green marbles and four black marbles. If you randomly pick two marbles
from the bag at the same time, what is the probability that both marbles will be black? - Correct
answer ✔✔ 2/7
Which of the following pairs of events is mutually exclusive? - Correct answer ✔✔ Electing a
female class president or electing a male class president
If P(A) = 0.4 and P(B) = 0.2, and A and B are mutually exclusive events, which one of the
following statements is true? - Correct answer ✔✔ P(A and B) = 0
If two standard dice are rolled, what is the probability of a total of 10 or a pair (doubles)? -
Correct answer ✔✔ 2/9
What is the probability of randomly selecting either a club or a non-face card from a standard
deck of cards? - Correct answer ✔✔ 43/52
In a particular class, the probability of a student having blue eyes is 0.3, of having both blue eyes
and blonde hair is 0.2, and of having neither blue eyes nor blonde hair is 0.5. What is the
probability that a student in this class has blonde hair? - Correct answer ✔✔ 0.2
, Twelve people at a party shake hands once with everyone else in the room. How many
handshakes took place? - Correct answer ✔✔ 66
In how many ways can a committee with nine members form a subcommittee with at least one
person on it? - Correct answer ✔✔ 511
How many different combination of trees could you buy if your local garden centre has only four
cedar trees and three apple trees in stock? - Correct answer ✔✔ 19
From a deck of 52 cards, a 6-card hand is dealt. How many distinct hands are there if the hand
must contain 2 spades and 3 diamonds? - Correct answer ✔✔ 13C2 x 13C3 x 26C1
There are 9 people participating in a raffle. Three $50 gift cards are being awarded to the
winners. How many ways can the gift cards be awarded? - Correct answer ✔✔ 84
If each of the 8 teams in a league must play each other three times, how many games will be
played? - Correct answer ✔✔ 8C2 + 8C2 + 8C2
Nine students are split into three equal-sized groups to work on a collaborative assignment.
How many ways can this be done? - Correct answer ✔✔ 1680
In the game board shown, the disc Ø can move diagonally toward the top of the board. If a solid
square is encountered, the disc is blocked and may neither move into that square nor jump over
it. How many paths are there to the top of the board? - Correct answer ✔✔ 8
The entries in row 4 of Pascal's triangle are - Correct answer ✔✔ 1 4 6 4 1
