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10. Selecting Marbles A bag contains 9 red marbles,
8 white marbles, and 6 blue marbles. Randomly choose
two marbles, one at a time, and without replacement.
Find the following.
a. The probability that the first marble is red and the
second is white
b. The probability that both are the same color
C. The probability that the second marble is blue

Respuesta :

Blemine

Answer: a) The probability that the first marble is red and the second is white.

P = (9/23)(8/22)

 

b) The probability that both are the same color.

P = 2R + 2W + 2B

P = (9/23)(8/22) + (8/23)(7/22) + (6/23)(5/22)

c) The probability that the second marble is blue.

P = (17/23)(6/22) + 2B (Need to consider both are Blue)

P = .202 + (6/23)(5/22) = .202 + .059 = .261

23 marbles

9/23*8/22, since there is one less marble

That is 72/506 or 0.142

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same color

9/23*8/22 (red)

8/23*7/22 (white)

6/23*5/22 (blue)

The denominator is 506

 

The numerator is 72+56+30=158

158/506=0.312

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Second marble blue:

3 possibilities

first red and then it is 9/23*6/22

first blue and then it is 6/23*5/22

first is white and then it is 8/23*6/22

Denominator is 506

Numerator is 54+30+48=132

132/506=0.261

Step-by-step explanation:

                        First marble

(a) The probability is that the is red and then the second is white. So,

  • P = (9/23)(8/22)

b) When The probability that is both the same color.

  • P = 2R + 2W + 2B
  • P = (9/23)(8/22) + (8/23)(7/22) + (6/23)(5/22)

c) Although, The probability that the second marble is blue.

  • P = (17/23)(6/22) + 2B (Need to consider both are Blue)
  • P = .202 + (6/23)(5/22) = .202 + .059 = .261

             are 23 marbles

  • 9/23*8/22, since there is one less marble
  • Now, That is 72/506 of 0.142
  • Which are the same color

=9/23*8/22 (red)

=8/23*7/22 (white)

=6/23*5/22 (blue)

The denominator is 506

=The numerator is 72+56+30=158

158/506=0.312

           Second marble blue:

        When 3 possibilities are

  • The first red and then it is 9/23*6/22
  • The first blue and then it is 6/23*5/22
  • The first is white and then it is 8/23*6/22

               Then the Denominator is 506

  • Numerator is 54+30+48=132

                     132/506=0.261

Learn more information:

https://brainly.com/question/10734660

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