# Mathematics Questions and Answers – Data Handling – Chance and Probability

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This set of Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Data Handling – Chance and Probability”.

1. How many outcomes can be obtained by tossing a coin?
a) 1
b) 2
c) 3
d) 4

Explanation: A coin has two sides i.e. head and tail. When a coin is tossed, we can get either head or tail. Thus, there are 2 outcomes when a coin is tossed.

2. How many outcomes can be obtained by tossing 2 coins?
a) 1
b) 2
c) 3
d) 4

Explanation: A coin has two sides i.e. head (H) and tail (T). When a coin is tossed, we can get either head or tail. When 2 coins are tossed, the possible outcomes are HH, HT, TH, TT. Thus, there are 4 outcomes when 2 coins are tossed.

3. How many outcomes can be obtained by tossing 3 coins?
a) 1
b) 2
c) 8
d) 4

Explanation: A coin has two sides i.e. head (H) and tail (T). When a coin is tossed, we can get either head or tail. When 3 coins are tossed, the possible outcomes are HHH, HHT, HTH, HTT, THH, THT, TTH, TTT. Thus, there are 8 outcomes when 3 coins are tossed.
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4. How many outcomes can be obtained by rolling a die?
a) 6
b) 2
c) 3
d) 4

Explanation: A die has 6 faces. The faces are numbered 1, 2, 3, 4, 5 and 6. When a die is rolled, there are 6 outcomes.

5. How many outcomes can be obtained by rolling 2 dice?
a) 6
b) 2
c) 3
d) 4

Explanation: A dice has 6 faces. The faces are numbered 1, 2, 3, 4, 5 and 6. When a dice is rolled, there are 6 outcomes. When 2 dice are rolled, possible outcomes are 36 as below:
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
(6,1) (6,2) (6,3) (6,4) (6,5) (6,6).

6. A bag has 5 balls. One of each color red, blue, green, yellow and pink. What are the possible outcomes of a ball picked from bag?
a) 6
b) 2
c) 3
d) 5

Explanation: A bag has 5 balls. One of each color red, blue, green, yellow and pink. When a ball is picked from bag, it can be either of the 5 balls. So possible outcome of picking ball from bag is 5.

7. Which of the below represents possible outcomes when 2 coins are tossed? Here, head is represented by H and tail is represented by T.
a) HH, HT, TH, TT
b) HH, HH, HT, HH
c) HT, TH, TT, TH
d) HH, HH, TT, TT

Explanation: A coin has two sides i.e. head (H) and tail (T). When a coin is tossed, we can get either head or tail. When 2 coins are tossed, the possible outcomes are HH, HT, TH, TT. Thus, there are 4 outcomes when 2 coins are tossed.

8. How many outcomes are possible when drawing a card from deck of cards?
a) 13
b) 52
c) 26
d) 1

Explanation: Deck of cards contains 52 cards. There are 13 cards of hearts, spades, clubs and diamonds. The 13 cards are A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K.

9. What are the possible outcomes of spinning below wheel? a) 1
b) 5
c) 4
d) 8

Explanation: On spinning the wheel, one of the four sections can be selected. Hence, the number of outcomes of spinning the wheel are 4.

10. Which option represents outcome of rolling a die correctly?
a) 1, 2, 3
b) 1, 2, 3, 4, 5, 6
c) 3, 4, 5, 6
d) 1, 3, 4

Explanation: A die has 6 faces. The faces are numbered 1, 2, 3, 4, 5 and 6. When a die is rolled, there are 6 outcomes.

Sanfoundry Global Education & Learning Series – Mathematics – Class 8.

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