STA301 Quiz 2 Set 2 by VU Topper RM

In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?

1. 5040
2. 720
3. 650
4. 860

Correct answer: 720

If A = {1,2,3,4 } and B = {3,4,5,6} then A union B will be: A. {3,4}

B. {1,2,3,4,5,6}

C. {1,2} D. {2,1}

A set which is the sub-set of every set is A. Super Set

B. Empty Set

C. Universal Set D. Power Set

If A = {1,2,3,4 } and B = {3,4,5,6} then A intersection B will be: A. {2} B. {1,2}

C. {3,4}

D. {1}

In a coin tossing example, we have only two possible outcomes, a head or a tail; this is an example of :

A. Equally likely events

B. None of these C. Both of these D. Mutually exclusive events The Probability of a sure event is: A. 0

B. 1

C. 8 D. 0.5

What are the chances that no two boys are sitting together for a photograph if there are 5 girls and 2 boys?

1. 1/21
2. 4/7
3. 2/7
4. 5/7

Correct answer: 5/7

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: A. 27/112

B. 21/46

C. 3/25 D. 1/50

For two mutually exclusive events A and B, P (A) = 0.1 and P (B) = 0.4, thenP(AUB) is: A. 0.1

B. 0.5

C. 0.3 D. 0.4

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

1. 1/2
2. 3/4
3. 3/8
4. 5/16

Correct answer: 1/2

If P (B) = 0.75, P (A) = 0.35 and P (A and B) = 0.20, then P (B | A) is:

A. 0.57

B. 0.27 C. 0.32 D. 0.41

The probability of drawing a red Jack from well-shuffled pack of 52 playing cards is: A. 4/52 B. 26/50

C. 2/52

D. 13/52

Order of the power set of a set of order n is A. n2

B. 2^n

C. n D. n^2

Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is: A. 2/20 B. 29/30 C. 47/100

D. 13/102

Q17. students are present in a class. In how many ways, can they be made to stand in 2 circles of 8 and 9 students?

1. 17C8 x 8! X 9!
2. 8! X 7!
3. 17C9 x 8! X 7!
4. 17C9 x 9! X 8!

Correct answer: 17C8 x 8! X 9!