Probability with Explanation

Q1. Three unbiased coins are tossed. What is the probability of getting at least 2 heads?

A.
1

3
B.
1

8
C.
1

2
D.
1

4

Q2. One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card?

A.
1

4
B.
1

13
C.
9

52
D.
4

13

Q3. One ticket is drawn at random from a bag containing 20 tickets numbered 1 to 20. What is the probability that the ticket was drawn having a number multiple of 3?

A.
3

10
B.
1

13
C.
1

2
D.
2

5

Q4. From a pack of 52 cards, one card is drawn at random. What is the probability that the card drawn is ten or a spade?

A.
1

26
B.
1

13
C.
1

4
D.
4

13

Q5. The probability that a card is drawn from a pack of 52 cards will be a diamond or a king, is:

A.
4

13
B.
2

13
C.
1

13
D.
1

52

Q6. A box contains 5 black, 4 orange and 3 white marbles. Three marbles are drawn at random. What is the probability that they are not of the same color?

A.
52

55
B.
3

55
C.
41

44
D.
3

44

Q7. A bag contains 6 orange and 4 black balls. Three balls are drawn at random. What is the probability that one ball is black and the other two are orange?

A.
3

10
B.
1

2
C.
1

12
D.
3

10