Question

1. A chess set has 32 pieces, 16 black and 16 white. In each color, there
are 8 pawns, 2 rooks, 2 Knights, 2 bishops, 1 queen and 1 king.

a. Find the probability that a piece selected at random is a white rook.
Explain how you found your answer.

b. How many ways can you choose one white piece and one black
piece? Explain how you found your answer.

c. How many ways can you choose 3 pieces from the 4 kings and
queens (black king, white king, black queen, white queen) to place
on 3 specific spaces on the chessboard? Is this a permutation or a
combination? Explain.

I REALLY NEED HELP WITH THESE AND FAST.

Answer 1

Answer:

I believe the answer is A.

Step-by-step explanation:

I don't really know how to really explain it tho

Answer 2

a. The probability that a piece selected at random is a white rook is 1/16.

b. 256 ways can you choose one white piece and one black piece.

c. 8 ways can you choose 3 pieces from the 4 kings and queens to place on 3 specific spaces on the chessboard.

Given that, a chess set has 32 pieces, 16 black and 16 white. In each colour, there are 8 pawns, 2 rooks, 2 knights, 2 bishops, 1 queen and 1 king.

What is the formula to find the probability of an event?

The formula to find the probability of an event is P(E)=Number of favourable outcomes/Total number of outcomes.

a. The probability that a piece selected at random is a white rook

=2/32=1/16

Therefore, the probability that a piece selected at random is a white rook is 1/16.

b. Number of ways can you choose one white piece and one black

piece=16×16=256

Each white piece can go with a black piece 16 times and the same the other way.

Hence, 256 ways can you choose one white piece and one black piece.

c. nPr=P(4,3)=4!/3=24/3=8 ways.

Hence, 8 ways can you choose 3 pieces from the 4 kings and queens to place on 3 specific spaces on the chessboard.

This is a permutation.

a. The probability that a piece selected at random is a white rook is 1/16.

b. 256 ways can you choose one white piece and one black piece.

c. 8 ways can you choose 3 pieces from the 4 kings and queens to place on 3 specific spaces on the chessboard.

To learn more about the permutation visit:

https://brainly.com/question/1216161.

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