Question

thirteen popular brands of beer are used in a taste

study finite

Thirteen popular brands of beer are used in a blind taste study for consumer recognition. Complete parts (A) and (B) below. (A) If 4 distinct brands are chosen at random from the 13 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 13 popular brands of beer. The number of elements in the sample space is n(s)=0 (Type a whole number.) The probability is (Type an integer or a simplified fraction) (B) \f repeats are allowed in the 4 brands chosen at random from tho 13 and 1 a consumer is allowed to repeat answers, what is the probability that all a brands are identitled correctly by just guessing? The probability is (Type an integer or a simplified fraction.)

Answer 1

PCE) be the probability of event E. p(E) is defined as PCB PCE) = - Let where Number OP favorable Outcome Total number OP Outcome ne n(s) (A) There ахе 13 brands out op which 4 populair brands aže to selected, since answers not be repeated total umber 0-6 Outcomes are n(s) 19 be 10 can 4 Let E be the event that all 15 such answer only 1 are brands could be Correctly identified by just guessing. There is way. that the correct. So, possible outcomes n (E) = 1 Therefore PE 13 = 20 4 25 B) There are Required probability is, p(E) 136 4 13 popular brands out of which 4 brands selected, Since answers be repeated, total number of outcomes are (5) 12 Let F be the event that all 3 brands could be are to be Con 30 4 =

M T W T F S Date : 17 Page No. just guessing, quessing. There is cinswer is correct. SO age correctly identified by only 1 way such that the possible outcomes ACF = 1 Therefore, p(B) 5 12 y 10 p® 129