#28,29,30 Ec3 Use the dat which summari Dr n from a shuffled deck of 52 playing

Question

#28,29,30

Ec3 Use the dat which summari Dr n from a shuffled deck of 52 playing 28) You are dealt two cards successively (without D) ands. Find the probability that both cards are black. Express your answer as a simplified fraction 102 13 51 C) 51 A) 2.652 B) 29) Find the probability that 3 randomly selected people all have the same birthday. Ignore leap years Round to eight decimal places C) 00082 D) 0.00000002 A) 0.00000751 ) 0.3333 5mn sdifent witnesses picked the same man from a line up. The line up contained would pick the same per or were made by random guesses, find the probability that all 7 witnesses of 30) In a homicide case 7 D) 0.0000595 A) 0.0000128 B) 0.000064 C) 1.4 31) The table below describes the smoking habits of a group 31) Light Heavy Nonsmoker smoker smoker Total 305 42 31 378 Women442 34 30 506 747 76 61 884 Men Total If two different A) 0.2500 people are randomly selected from the 884 subjects, find the probability that they are both women. Round to four decimal places B) 0.3276 C) 0.3274 D) 0.000003906 32) What is the probability that 4 randomly selected people all have diferent birthdays? Round to four 32) decimal places. A) 0.9918 B) 0.9729 C) 0.9836 D) 0.9891 Find the indicated probability. Round to the nearest thousandth. 33) A sample of 4 different calculators is randomly selected from a group containing 16 that are defective and 30 that have no defects. What is the probability that at least one of the calculators is defective? 33) A) 0.819 B) 0.160 C) 0.168 D) 0.832 in a blood testing procedure, blood samples from 6 people are combined into one mixture. The mixture will only test negative if all the individual samples are negative. If the probability that an individual sample tests positive is 0.11, what is the probability that the mixture will test positive? 34) A) 0.503 B) 0.497 C) 1.00 D) 0.00000177 35) An unprepared student makes random guesses for the ten true-false questions ort a quiz. Find the probability that there is at least one correct answer 35) A) 0.999 B) 0.100 C) 0.001 D) 0

Explanation / Answer

28)

there are total 52 cards out of which 26 are black.(spade and club)

so, probability of drawing 1st black card=26/52

after drawing first black card and without replacement,,25 black cards remaining out of total 51 cards

so, P(both black cards) = (26/52 )* (25/51)

=25/102

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29)

there are total 365 days in a year.

probability that a person has birthday on particular date=1/365

{because that day will only be one ,so favorable case one}

now, all 3 people have same birthday.

so, P( 3 people have same birthday) =(1/365)*(1/365)*(1/365) = 0.00000002

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30)

line up conatined 5 men.

so, probability of picking one person is =1/5 = 0.2

now, P(all 7 witness pickup the same person) = 0.2^7= 0.0000128

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