There are 50 children in a class. Thirty of them are girls. There are

1.	There are 50 children in a class. Thirty of them are girls. There are 40 children in another class. 25 of them are boys. One student is taken from each class at random. What is the number of outcomes? How many outcomes contain both boys. How many outcomes contain both girls. How many outcomes have one boy and one girl?
Answer» Total pairs = 50 × 40 = 2000 No. of pairs in which both are boys = 20 × 25 = 500 No. of pairs in which both are girls = 30 × 15 = 450 No. of pairs in which one is a boy and the other a girl = 30 × 25 + 20 × 15 = 750 + 300 = 1050

There are 50 children in a class. Thirty of them are girls. There are 40 children in another class. 25 of them are boys. One student is taken from each class at random. What is the number of outcomes? How many outcomes contain both boys. How many outcomes contain both girls. How many outcomes have one boy and one girl?

Answer»

Total pairs = 50 × 40 = 2000

No. of pairs in which both are boys = 20 × 25 = 500

No. of pairs in which both are girls = 30 × 15 = 450

No. of pairs in which one is a boy and the other a girl = 30 × 25 + 20 × 15 = 750 + 300 = 1050

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