A box of 7 gloves contains three left-handed gloves and four right-handed gloves
ID: 3246498 • Letter: A
Question
A box of 7 gloves contains three 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?
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?
c. If three gloves are selected with replacement, what is the probability that all three will be left-handed?
d. If you were sampling with replacement, what would be the answers to (a) and (b)?
Explanation / Answer
a) P(Both right handed) = 4/7*(3/6) = 2/7
b) P(On right handed and one left handed ) = 4/7*(3/6)+(3/7*4/6) = 4/7
c) P(all three left handed) = 3/7*3/7*3/7 = 27/343
d) If replacement
a) P(Both right handed) = 4/7*4/7*4/7= 64/243
b) P(On right handed and one left handed ) = 4/7*(3/7)+(3/7*4/7) = 24/49
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.