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A box of jerseys for a pick-up game of basketball contains 10 extra-large jerseys, 6 large jerseys, and 4 medium Jerseys. If you are first to the box and grab 2 jerseys, what is the probability that you randomly grab 2 medium jerseys? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.​

Sagot :

Answer: 3/95

Total Number of jerseys:

10+6+4=20

Odds of first jersey being medium:

4/20

Odds of second jersey being medium

3/19

(4/20)*(3/19)=12/380=

6/190=3/95

Francocanacariidn

The probability that you randomly grab 2 medium jerseys is 3.15%.

Since a box of jerseys for a pick-up game of basketball contains 10 extra-large jerseys, 6 large jerseys, and 4 medium Jerseys, to determine, if you are first to the box and grab 2 jerseys, what is the probability that you randomly grab 2 medium jerseys, the following calculation must be performed:

  • 10 + 6 + 4 = 20
  • 4/20 x 3/19 = X
  • 0.0315 = X
  • 0.0315 x 100 = 3.15%

Therefore, the probability that you randomly grab 2 medium jerseys is 3.15%.

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