## Probability problems

• 1. A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:

• Options
• A.  1 22
• B.  3 22
• C.  2 91
• D.  2 77
• 2. Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?

• Options
• A.  1 2
• B.  2 5
• C.  8 15
• D.  9 20
• 3. Two dice are tossed. The probability that the total score is a prime number is:

• Options
• A.  1 6
• B.  5 12
• C.  1 2
• D.  7 9
• 4. One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?

• Options
• A.  1 13
• B.  3 13
• C.  1 4
• D.  9 52
• 5. Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is:

• Options
• A.  3 20
• B.  29 34
• C.  47 100
• D.  13 102
• 6. A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is:

• Options
• A.  1 13
• B.  2 13
• C.  1 26
• D.  1 52
• 7. What is the probability of getting a sum 9 from two throws of a dice?

• Options
• A.  1 6
• B.  1 8
• C.  1 9
• D.  1 12
• 8. Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?

• Options
• A.  1 2
• B.  3 4
• C.  3 8
• D.  5 16
• 9. 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:

• Options
• A.  21 46
• B.  25 117
• C.  1 50
• D.  3 25
• 10. From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?

• Options
• A.  1 15
• B.  25 57
• C.  35 256
• D.  1 221