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lara31 [8.8K]
3 years ago
12

In a box there are six envelopes each containing two cards. Three of the envelopes contain two red cards, two of them contain a

red and a black card, and the last one contains two black cards. An envelope is selected at random and a card is withdrawn and found to be red. What is the chance the other card is black?
Mathematics
1 answer:
Sphinxa [80]3 years ago
5 0

Answer:

\frac{2}{5}

Step-by-step explanation:

3 envelopes having 2 red card

2 envelopes having 1 red card and 1 black card

1 envelope having 2 black cards

We are given that . An envelope is selected at random and a card is withdrawn and found to be red.

So, No. of ways of envelope having red card = 3+2 = 5

No. of required ways of envelope having 1 red card and 1 black card = 2

So, probability of getting an envelope having 1 red card and 1 black card = \frac{2}{5}

Hence The chance the other card is black is \frac{2}{5}

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