Question

Suppose that 8 cards, of which four are red, two are green and two are blue, are placed at random in 8 envelopes (-5 ,Two envelops are selected at random . (بريدي 1. find the probability that the envelops have red cards 2. find the probability that they have cards of the same colors? PA ce 7 A- B I

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Abdul-Rahim Taysir

Answer 1

Answer:

Given Data

The number of ways of selecting 2 envelopes from 8 is

$\binom{8}{2}=28$

The number of ways of selecting 2 envelopes with 2 red cards is

$\binom{4}{2}=12$

The probability that the envelopes have red cards is $\frac{12}{28}=\frac{3}{7}$

The number of ways of selecting 2 envelopes with 2 green cards is

2 -1 2.

The number of ways of selecting 2 envelopes with 2 blue cards is

2 -1 2.

the probability that they have cards of the same colors is

$\frac{12+1+1}{28}=\frac{1}{2}$

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