Question

(2) The scores obtained by a class of

ten students were:2, 3, 4, 4, 5, 6, 6,
7,11, 12.
Determine the probability that a pupil
selected at random from the class
obtained (a) exactly 6 marks
(b)at LEAST 6 marks
(2marks)
(2marks)
(3) A card is drawn from a pack of
cards. What is the probability of
drawing a Queen of Hearts? (1mark)
(4) If a fair die is tossed 300 times, how
many outcomes are expected to be the
number 6?
(2marks)

Answer 1

Below.

Explanation:

2)

(a) Prob(exactly 6 marks) = 2/10 = 1/5

(b) Prob(At least 6 marks) = 5/10 = 1/2.

3)

Prob ( Queen of hearts) = 1/52

4)

Probability of a 6 in one throw = 1/6.

So expected number of 6's in 300 throws

= 1/6 * 300

= 50.