There are 4 pairs of different colored earrings in a bag. There are 4 necklaces
ID: 3330185 • Letter: T
Question
There are 4 pairs of different colored earrings in a bag. There are 4 necklaces all of different colors in another bag. You pull 2 earrings and 1 necklance.
What is the probability that both earrings are the same color and the necklace is the same color?
What is the probability that both earrings are the same color and the necklace is a different color?
What is the probability that both earrings are different colors and the necklace is a same color as one of the earrings?
What is the probability that both earrings are different colors and the necklace is a different color than both earrings?
Explanation / Answer
probability that both earrings are the same color and the necklace is the same color=P( both earing of same colors)*P(Necklace is of same color) =(1/7)*(1/4) =1/28 (as for necklace it is one out of 4 chance to be same as clor of earings)
probability that both earrings are the same color and the necklace is a different color =(1/7)*(3/4)=3/28
probability that both earrings are different colors and the necklace is a same color as one of the earrings
=(6/7)*(1/2)=6/14
probability that both earrings are different colors and the necklace is a same color as one of the earrings
=(6/7)*(1/2) =6/14
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