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version 2 Questions 01 - 02 The famous musical, the phantom of the opera, will be played in a theater. The main character, the phantom, is important in the musical and there are 3 actors who can play the phantom. Suppose that an actor may be ill on a day with 6% probability. Illness of an actor is independent of other actors. Q01 What is the probability that all 3 actors who can play the phantom are ill? (a) (0.06) (b) 3x (0.06) (e) (0.91) (a) 3 x (0.94) (e) 1 - (0.06) Answer (a) Q02 What is the probability that at least one of 3 actors who can play the phantom is NOT ill? (a) (0.06) (b) 3x (0.06) (c) (0.91) (d) 3 x (0.91) (e) 1 - (0.06) Answer (e)

Answer 1

Ans.1 a) (0.06)^3

Probability of an actor who is ill = 6%= 0.06

It is given that illness of an actor is independent of other actor.Therefore, Probability that all 3 actors who can play are ill=0.06×0.06×0.06= (0.06)^3

Ans. 2 e) 1-(0.06)^3

We have found in que 1, the probability of all actors who are ill.

So, probability that atleast one of 3 actors who can play are not I'll= 1- probability of all actors who can play are ill

= 1-(0.06)^3