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Self Test on Permutation, Combination and Probability

Here are some questions from the HKDSE past papers for you to test yourself on the topics Probability, Combination and Permutation.
Do remember to revise before you do this test:))

Q1.

In a bag, there are 4 green pens, 7 blue pens and 8 black pens. If 5 pens are randomly drawn from the bag at the same time,

(a) find the probability that exactly 4 green pens are drawn. (2 marks)

(b) find the probability that exactly 3 green pens are drawn. (2 marks)

(c) find the probability that not more than 2 green pens are drawn. (2 marks)

Your answers (input your answers with fractions. Eg. 1/2, 3/4):

(a)

(b)

(c)





Q2.

If 4 boys and 5 girls randomly form a queue, find the probability that no boys are next to each other in the queue. (3 marks)

Your answers (input your answers with fractions. Eg. 1/2, 5/4):





Q3.

Bag A contains four cards numbered 1, 3, 5 and 7 respectively while bag B contains five cards numbered 2, 4, 6, 8 and 10 respectively. If one card is randomly drawn from each bag, find the probability that the sum of the two numberes drawn is less than 9. (3 marks)

Your answers (input your answers with fractions. Eg. 1/2, 5/4):

Content

Self Test on Permutation, Combination and Probability
By: Grace Li
Contacts: s131118@eclass.uccke.edu.hk
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