Question 72599: 1. In shipment containing 10 TV sets, 2 are defective. Two TV sets are taken for inspection in succession without replacement. What is the probability that
a. A defective TV sets shall be taken on the first draw?
b. A non-defective shall be taken on the first and a non-defective on the second?
c. A non-defective on the second given that it is a non-defective on the first?
2. Two balls are drawn in succession with replacement from a box containing 5 red, 4 blue, and 2 yellow balls. If the first ball drawn is red, then what is the probability that the second ball is drawn
a. Red
b. Blue
c. Yellow
3. If a cards is drawn from a deck of 52 playing cards, then what is the probability of getting
a. A red card and a face card
b. A diamond and a number below 6
c. A black and a spade
4. In a council meeting, 5 representatives are seniors, 4 are juniors, 3 are sophomores and 2 are freshmen. The council decided to form a committee with 4 members, If all the representative are given an equal chance of being selected as committee members, then what is the probability that
a. The members consists of different year level
b. Two are seniors and 2 are juniors
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 1. In shipment containing 10 TV sets, 2 are defective. Two TV sets are taken for inspection in succession without replacement. What is the probability that
a. A defective TV sets shall be taken on the first draw?
2/10
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b. A non-defective shall be taken on the first and a non-defective on the second?
(8/10)(7/9) because of "without replacement" these are dependent events.
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c. A non-defective on the second given that it is a non-defective on the first?
P(N|N) = (7/9)
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2. Two balls are drawn in succession with replacement from a box containing 5 red, 4 blue, and 2 yellow balls. If the first ball drawn is red, then what is the probability that the second ball is drawn
COMMENT: Because of "with replacement" it doesn't matter what happened on the
first draw.
a. P(Red)=5/11
b. P(Blue)=4/11
c. P(Yellow)=2/11
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3. If a cards is drawn from a deck of 52 playing cards, then what is the probability of getting
a. P(A red card and a face card)= 6/52
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b. P(A diamond and a number below 6) = 4/52
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c. P(A black and a spade)=13/52
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4. In a council meeting, 5 representatives are seniors, 4 are juniors, 3 are sophomores and 2 are freshmen. The council decided to form a committee with 4 members, If all the representative are given an equal chance of being selected as committee members, then what is the probability that
a. The members consists of different year leve
There are 5*4*3*2 groups of four with one member from each class.
There are 14C4 different groups of four
P(all four members are from a different class) = 5*4*3*2/14C4=0.11
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b. (Two are seniors and 2 are juniors)
There are 5C2*4C2 = 60 groups of four that have 2 seniors and 2 juniors
There are 14C4 groups of four
P(2 seniors and 2 juniots) = 60/14C4 =0.05994
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Cheers,
Stan H.
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