7. Parts (i) and (ii) are independent questions. i. Consider the following event

Question

7. Parts (i) and (ii) are independent questions. i. Consider the following events A = the event that the student plays tennis and B = the event that the student has a PC. Translate each of the events given below into words. a. A C b. A and B c. A or B d. A|B e. B|A 3 ii. There are 12 red, 16 blue and 18 green balls in a box. 7 balls are selected randomly. Calculate the probability that a. 2 blue, 2 green and 3 red balls are selected b. the first 3 balls are red, the next 2 are blue and the last 2 are green c. at least 2 red balls are selected d. all selected balls are the same color

Explanation / Answer

Question 1)

a) Event A c(A complement)

The event that the student does not play tennis

b) A and B

The event that the student plays tennis and has a PC

c) A or B

The event that the student plays either tennis or has a PC

d) A|B

The event that the student plays tennis, given that the student has a PC

e) B|A

The event that the student has a PC, given that the student plays tennis

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