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Help plzz and It's continue of math

Homework: Compound Probability (Without Replacement)

2.) There are three nickels, four dimes, and four quarters in your pocket. You randomly pick three coins and place them on a counter. The first coin is a nickel, the second is a dime, and the third is a quarter.
3/110, 8/165, 1/64, 10/273

3.) A box of chocolates contains four milk chocolates and six dark chocolates. You randomly pick a chocolate and eat it. Then you randomly pick another piece. The first piece is milk chocolate and the second piece is dark chocolate.
4/15, 5/18, 5/22, 3/110

2 Answers

4 votes

Answer:

2) 8/165

3) 4/15

Explanation:

2) P(N,D,Q) = 3/11 x 4/10 x 4/9

3) P(M,D) = 4/10 x 6/9

User Htorque
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7 votes

Answer:

For number 2: 8/165

Explanation:

The total number of coins = 11 ( 3 + 4 + 4 = 11).

The probability of picking a nickel first = 3/11 ( 4 nickels out of 11 total).

The probability of picking a dime second = 4/10 = 2/5 ( 3 dimes out of 10 coins left).

The probability of picking the third coin as a quarter = 4/9 ( 3 quarters out of 9 coins left).

I don't know the other problem, sorry.

User Ben ODay
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5.2k points