**Question**** 1:** What is the probability of having an odd number in a single toss of a fair die?

(a) 1/6

(b) 1/3

(c) ½

(d) 2/3

**Answer:** C

*Use the following information for question 2 and 3*

*The surname of 40 children in a class were arranged in alphabetical order,16 of the surnames begin with O and 9 of the surnames begins with A. 14 letters of the alphabet do not appear as the first letter of a surname.*

**Question**** 2:** What is the probability that the surname of a child picked at random from the class begins with either O and A?

(a) 5/8

(b)7/8

(c)9/16

(d)14/25

**Answer:** A

**Question**** 3**: If more than one surname begins with a letter besides A and O, how many surnames begin with the letter? ** **(a) 2

(b) 3

(c) 4

(d) 6

**Answer:** B

*The table gives the score of a group of students in an English language test.*

Scores | 2 | 3 | 4 | 5 | 6 | 7 |

No. of Students | 2 | 4 | 7 | 2 | 3 | 2 |

**Question**** 4**: If a student is chosen at random from the group, what is the probability that he scored at least 6 marks?** **(a) 3/20

(b) 1/5

(c) ¼

(d) 3/10

**Answer:**C

**Question**** 5**: What is the probability that three customers waiting in a bank will be served in the Sequence of their arrival at the bank?** **(a) 1/6

(b) 1/3

(c) ½

(d) 2/3

**Answer:**C

**Question**** 6**: The probability that Kodjo and Adoga pass an examination are ¾ and 3/5 respectively. Find the probability of both boys failing the examination.** **(a) 1/10

(b) 3/10

(c) ½

(d) 2/3

**Answer:**A

**Question**** 7**: The mean of 20 observations in an experiment is 4. If the observed largest value is 23, Find the mean of the remaining observations.** **(a) 4

(b) 3

(c) 2.85

(d) 2.60

**Answer:**A

**Question**** 8**: A group of eleven people can speak either English or French or both. Seven can speak English and six can speak French. What is the probability that a person chosen at random can speak both English and French?** **(a) 2/11

(b) 4/11

(c) 5/11

(d) 11/13

**Answer:**B

If events X and Y are mutually exclusive, P(X) = 1/3 and P(Y) = 2/5, Use the information to answer questions 9 & 10.

**Question**** 9: **P (X n Y) is

(a) 0

(b) 2/15

(c) 4/15

(d) 11/15

**Answer:** A

**Question**** 10: **P (X u Y) is

(a) 0

(b) 2/15

(c) 4/15

(d) 11/15

**Answer:** A

**11: **A box contains 2 white and 3 blue identical marbles. If two marbles are picked at Random, one after the other, without replacement, What is the probability of picking two marbles of different colours?

(a) 2/3

(b) 3/5

(c) 2/5

(d) 7/20

**Answer:** D

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