Submit uiz: Q 06 Time Remaining: 02:10:28 ] is Question: 1 pt . 7of8(0 complete)

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Submit uiz: Q 06 Time Remaining: 02:10:28 ] is Question: 1 pt . 7of8(0 complete) | This Quiz: 8 pts po A box of 6 gloves contains two left-handed gloves and four right-handed gloves. Complete parts (a) through (d). a. If two gloves are randomly selected from the box without replacement, what is the probability that both gloves selected will be right-handed? P(both right-handed). (Round to four decimal places as needed.) b. If two gloves are randomly selected from the box without replacement, what is the probability there will be one right-handed glove and one left-handed glove selected? P(1 right-handed and 1 left-handed)- (Round to four decimal places as needed.) c. If three gloves are selected with replacement, what is the probability that all three will be left-handed? Plthree left-handed). (Round to four decimal places as needed ) d-If you were sampling with replacement, what would be the answers to (a) and (b)? PDoth nght-handed). (Round to four decimal places as needed.) Pt1 nghthanded and 1 lefthanded). (Round to four decimal places as needed.) Enter your answer in each of the answer boxes. 5 B. FS F2

Explanation / Answer

A) P(boh right handed) = 4/6 x 3/5 = 2/5 = 0.4000

B) P(1 left handed and one right handed) = 4/6 x 2/5 + 2/6 x 4/5

= 8/15 = 0.5333

C) P(all 3 are left handed) = (2/6)3 = 0.0370

D) P(both right handed) = 4/6 x 4/6 = 0.4444

P(one left handed and one right handed) = 2x 4/6 x 2/6 = 0.4444

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