Question

You play a game that involves drawing two numbers from a hat. There are 25 pieces of paper numbered from 1 to 25 in the hat. Each number is replaced after it is drawn. Find the probability that you will draw the 3 on your rst draw and a number greater than 10 on your second draw.

Answer 1

`Probability=(3)/(125)`

Explanation:

In the question,

Total number of pieces of paper numbered from 1 to 25 are = 25

As the draw also includes replacement.

So,

Probability of drawing '3' is given by,

`Probability=(Favourable\,outcomes)/(Total\,cases)\\Probability=(1)/(25)`

Now,

Numbers greater than 10 are = 15

So,

Probability of drawing a number greater than 10 is given by,

`Probability=(15)/(25)`

So,

Total probability is given by,

Product of probability of drawing 3 in 1st draw and the Probability of drawing a number greater than 10.

`(1)/(25)* (15)/(25)=(3)/(125)\\Probability=(3)/(125)`