STA301 Midterm MCQs 2024 by Miss Mehwish

Past Papers for Mids./Finals are also Available · STA301(Live Quiz) · (Statistics and Probability)

Q1. In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:

1. 21/46
2. 27/02
3. 1/50
4. 3/25

Correct answer: 21/46

Q2. A group consists of three persons, A, B, & C. How many ways are there of selecting a group of two persons out of these three?

1. 6
2. 3
3. 1
4. 2

Correct answer: 3

Q3. What is the Cartesian product of A = {1, 2} and B = {a, b}?

1. {(1, a), (2, a), (1, b), (2, b)}
2. {(1, a), (1, b), (2, a), (b, b)}
3. {(1, 1), (a, a), (2, a), (1, b)}
4. {(1, a), (2, 2), (2, 0), (b, b)}

Correct answer: {(1, a), (2, a), (1, b), (2, b)}

Q4. If we have three events A, B, and C, then for exhaustive events P(A ∪ B ∪ C) will be equal to:

1. P(A)
2. P(s)
3. P(A) * P(B) * P(C)
4. P(B)

Correct answer: P(s)

Q5. If A = {H, T}, then which of the following is the power set of A?

1. {4, 7}
2. {{H}, {T}, {H, T}}
3. { {}, {H}, {T}, {H, T} }
4. { {H}, {T}, {H, T}}

Correct answer: { {}, {H}, {T}, {H, T} }

Q6. 10! equals to:

1. 362880
2. 362280
3. 362800
4. 3628800

Correct answer: 3628800

Q7. The probability of drawing a jack card from a well-shuffled pack of 52 playing cards will be:

1. 1/26
2. 1/52
3. 4/52
4. 1/13

Correct answer: 4/52

Q8. If a box contains two red and three green balls, then the probability of drawing a red ball will

1. 5
2. 2/3
3. 3/4
4. 2/5

Correct answer: 2/5

Q9. In how many ways can a committee consisting of 5 men and 6 women be formed from 8 men and 10 women?

1. 780
2. 5040
3. 450
4. 11760

Correct answer: 11760

Q10. What does the set comprising all possible outcomes of an experiment known as?

1. Elementary event
2. Sure event
3. Null event
4. None of the above

Correct answer: None of the above

Q1. If we have three events A, B, and C, then for exhaustive events P(A ∪ B ∪ C) will be equal to:

1. P(A) * P(B) * P(C)
2. P(s) ✅
3. P(B)
4. None of the above

Q2. Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?

1. 3/8
2. 1/2
3. 3/4 ✅
4. 5/16

Q3. If a coin is tossed 3 times, the probability that three tails appear simultaneously is equal to:

1. 1/2