There are n counters in a bag.
3 of the counters are red.
Two counters are taken from the bag.
Find, in terms of n, the probability that both counters are red.

Question

12-06-2022
Mathematics

contestada

There are n counters in a bag.
3 of the counters are red.
Two counters are taken from the bag.
Find, in terms of n, the probability that both counters are red.

Respuesta :

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konrad509 konrad509 · Answer 1 · 2022-06-12T15:27:59+02:00

konrad509 konrad509

12-06-2022

[tex]\displaystyle |\Omega|=\binom{n}{2}=\dfrac{n!}{2!(n-2)!}=\dfrac{n(n-1)}{2}\\|A|=\binom{3}{2}=3\\\\P(A)=\dfrac{3}{\dfrac{n(n-1)}{2}}=\dfrac{6}{n(n-1)}[/tex]

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There are n counters in a bag. 3 of the counters are red. Two counters are taken from the bag. Find, in terms of n, the probability that both counters are red.

Respuesta :

Otras preguntas

There are n counters in a bag.
3 of the counters are red.
Two counters are taken from the bag.
Find, in terms of n, the probability that both counters are red.