# Chapter 12: Introduction to probability theory - Online Test

Q1. It is given that the events A and B are such that P( A) = 1/4 , P ( A / B) = 1/2 and P ( B / A) = 2/3 . Then P(B) is
Answer : Option B
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Q2. In a certain college 4% of the boys and 1% of the girls are taller than 1.8 meter. Further 60% of the students are girls. If a student is selected at random and is taller than 1.8 meters, then the probability that the student is a girl is
Answer : Option B
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Q3. Ten coins are tossed. The probability of getting at least 8 heads is
Answer : Option D
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Q4. The probability of two events A and B are 0.3 and 0.6 respectively. The probability that both A and B occur simultaneously is 0.18. The probability that neither A nor B occurs is
Answer : Option D
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Q5. If m is a number such that m ≤ 5, then the probability that quadratic equation 2x2 + 2mx + m + 1 = 0 has real roots is
Answer : Option C
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