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Test (elaborations) 041
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probabilty question paper for the stududents to slove .
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Choose the correct option for each question. (4 marks each)1. What is the probability of rolling a fair six-sided die and getting an even
number? a) 1/2 b) 1/3 c) 1/6 d) 2/3
2. A bag contains 5 red balls and 3 blue balls. If one ball is drawn at random,
what is the probability of getting a red ball? a) 1/2 b) 2/3 c) 3/8 d) 5/8
3. Two cards are drawn successively without replacement from a standard deck
of 52 playing cards. What is the probability that both cards are spades? a)
1/4 b) 1/13 c) 1/17 d) 1/221
4. In a group of 30 people, 10 of them play soccer and 15 play basketball. If one
person is randomly selected from the group, what is the probability that the
person plays either soccer or basketball? a) 2/3 b) 1/3 c) 1/2 d) 5/6
Section B: Short Answer Questions
Write brief answers to the following questions. (6 marks each)
1. Define probability and explain how it is expressed mathematically.
2. A box contains 8 red balls, 5 green balls, and 3 blue balls. If two balls are
drawn at random without replacement, what is the probability that both balls
are green?
3. A fair coin is tossed 4 times. Calculate the probability of getting exactly 2
heads.
Section C: Problem Solving
Solve the following problems. Show your calculations. (10 marks each)
1. A bag contains 10 red marbles, 5 blue marbles, and 3 green marbles. If two
marbles are drawn at random without replacement, what is the probability
that both marbles are blue?
2. A fair six-sided die is rolled three times. What is the probability of obtaining a
6 on the first roll, a 3 on the second roll, and an even number on the third
roll?
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