Question

Eleven popular brands of beer are used in a blind taste study for consumer recognition Complete parts (A) and (8) below (A) If 4 distinct brands are chosen at random from the 11 and if a consumer is not allowed to repeat any answers, what is the probability that all 4 brands could be identified by just guessing? Let the sample space S be the set of ways that the 4 distinct brands can be chosen from the 11 popular brands of beer. The number of elements in the sample space is n)- (Type a whole number) The probability is (Type an integer or a simplified fraction) (B) If repeats are allowed in the 4 brands chosen at random from the 11 and if a consumer is allowed to repeat answers, what is the probability that all 4 brands are identified correctly by just guessing? The probability is (Type an integer or a simplified fraction) Enter your answer in each of the answer boxes HE O Type here to search RI e

Answer 1

A) we have to choose 4. distinct brands out of 1 She sample space. The elements in sample space are n(s) - 330 11. let licu nis) - 330 let be event that all a brands could be identified by guessing. OCE) There is only one way that all u answers are Correct Probability n(E) = 0,00303 nis) 330 The probability is 0.00303 B] then if repetition are allowed 4 nos) 1464) ways to choose u distinct ( brands out of ll. let B. is event. that all u brands could identified by guessing when repetition is allowed. OCB) = 1 Conly one way for correct inswer) Probability nCB) nes) こ 4 וו The probability is 0.0000 683 0.0000683

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