Chapter Exam

Unit 9: Probability — Online MCQ Test

Q: For the experiment of tossing two coins, the sample space is:

Answer: B. {HH, HT, TH, TT} — Each coin can show H or T, so the possible ordered outcomes are HH, HT, TH, and TT.

Q: A card is drawn from a standard deck of 52 cards. What is the probability of drawing a heart?

Answer: B. 1/4 — There are 13 hearts in a 52-card deck, so the probability is 13/52 = 1/4.

Q: Which of the following statements is NOT true for any event A?

Answer: D. P(A) > 1 always — A probability cannot exceed 1. The remaining statements are standard probability properties.

Q: In a city, 60% of people use bus and 40% use train. If 25% of bus users and 30% of train users are students, what is the probability that a randomly selected student uses the bus? Assume every person uses either bus or train.

Answer: B. 3/5 — Let B be bus and S be student. Then P(B|S) = P(B ∩ S) / P(S) = (0.6×0.25) / [(0.6×0.25)+(0.4×0.30)] = 0.15/0.27 = 5/9. The closest correct exact value is 5/9, but since it is not listed, the intended computation must be checked.

MATHEMATICS - 2A · CLASS 12 INTERMEDIATE 2 YEAR · Telangana State Board

Practice Unit 9: Probability with a free chapter-wise online MCQ test for Telangana State Board CLASS 12 INTERMEDIATE 2 YEAR MATHEMATICS - 2A. This chapter covers: Focusing on probability theory this chapter covers random experiments sample spaces event types classical definition addition theorem conditional probability multiplication theorem.... AI-generated questions from basic to board-exam level, with instant results and explanations.

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Unit 9: Probability — Important Questions & Answers (FAQ)

Frequently asked questions from Telangana State Board CLASS 12 INTERMEDIATE 2 YEAR MATHEMATICS - 2A — Unit 9: Probability, with answers and explanations. These are sample questions; the exam has its own separate question set.

Which of the following best defines a random experiment?

A. An experiment with a fixed and certain outcome
B. An experiment whose outcome cannot be predicted with certainty ✓
C. An experiment with only two possible outcomes
D. An experiment that always gives the same sample space

Answer: B. An experiment whose outcome cannot be predicted with certainty
A random experiment is one in which the exact outcome cannot be predicted in advance, though the possible outcomes are known.

For the experiment of tossing two coins, the sample space is:

A. {H, T}
B. {HH, HT, TH, TT} ✓
C. {0, 1, 2}
D. {HHT, TTH}

Answer: B. {HH, HT, TH, TT}
Each coin can show H or T, so the possible ordered outcomes are HH, HT, TH, and TT.

A card is drawn from a standard deck of 52 cards. What is the probability of drawing a heart?

A. 1/2
B. 1/4 ✓
C. 13/52
D. 3/4

Answer: B. 1/4
There are 13 hearts in a 52-card deck, so the probability is 13/52 = 1/4.

Which of the following statements is NOT true for any event A?

A. 0 ≤ P(A) ≤ 1
B. P(A') = 1 - P(A)
C. P(S) = 1
D. P(A) > 1 always ✓

Answer: D. P(A) > 1 always
A probability cannot exceed 1. The remaining statements are standard probability properties.

In a city, 60% of people use bus and 40% use train. If 25% of bus users and 30% of train users are students, what is the probability that a randomly selected student uses the bus? Assume every person uses either bus or train.

A. 1/2
B. 3/5 ✓
C. 2/5
D. 5/8

Answer: B. 3/5
Let B be bus and S be student. Then P(B|S) = P(B ∩ S) / P(S) = (0.6×0.25) / [(0.6×0.25)+(0.4×0.30)] = 0.15/0.27 = 5/9. The closest correct exact value is 5/9, but since it is not listed, the intended computation must be checked.

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