The probability that a randomly grab 2 extra large jerseys is 18.3%.
Given that a box of jerseys for a pick-up game of basketball contains 8 extra-large jerseys, 6 large jerseys, and 4 medium jerseys.
The number of jerseys in the box is 8+6+4=18
To find the probability of picking 2-extra large jerseys by finding the probability of 1 extra large and probability of 2 extra large.
The probability of picking 1 extra large jersey is
P₁=8/18
P₁=4/9
The probability of picking 2 extra large jerseys is remaining jerseys
P₂=7/17
The total probability of getting 2 extra large jerseys is
P=P₁×P₂
P=(4/9)×(7/17)
P=28/153
P=0.183
P=18.3%
Hence, the probability that randomly grab 2 extra-large jerseys when basketball contains 8 extra-large jerseys, 6 large jerseys, and 4 medium jerseys is 18.3%.
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