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11 November, 16:01

A bandleader randomly select's 2 students out of 100 band members. if you and your brother are both bandmembers what is the probability that you are both selected?

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  1. 11 November, 16:35
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    Probability of an event happening = (numbers of ways it can happen) / (total numbers of outcomes)

    P=probability that we are both selected

    P₁=probability that I am selected and my brother is selected after.

    P₂=probability that my brother is selected and I am selected afer.

    P=P₁+P₂

    P₁ = (1/100) * (1/99) = 1/9900

    P₂ = (1/100) * (1/99) = 1/9900

    P=1/9900 + 1/9900=2/9900≈0,0002≈0.02%

    solution: P=2/9900≈0.02%
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