Question

Suppose that 8 cards, of which four are red, two are green and two are blue,...

Suppose that 8 cards, of which four are red, two are green and two are blue, are placed at random in 8 envelopes. Two envelops are selected at random,

  1. find the probability that the envelops have red cards?
  2. find the probability that they have cards of the same colors?
Math   Statistics-And-Probability   
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Answer #1

The number of ways of selecting 2 envelopes from 8 is .

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

The probability that the envelops have red cards is .

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

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

The probability that they have cards of the same colors is ​​​​​​​.

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