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 first draw and a number greater than 10 on your second draw. Round your answer to the nearest tenth.

The probability would be 2.4%.

The probability of drawing a 3 on the first draw would be 1/25. The probability of drawing a number greater than 10 on the second draw would be 15/25. The combined probability would be:

(1/25)(15/25) = 15/625 = 0.024 = 2.4%.

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andromache andromache · Answer 2 · 2021-12-17T10:03:59+01:00

The probability is 2.4%.

Given that,

There are 25 pieces of paper numbered from 1 to 25 in the hat.
Each number is replaced after it is drawn.

Based on the above information, the calculation is as follows:

The probability of drawing a 3 on the first draw would be [tex]1\div 25.[/tex]

The probability of drawing a number greater than 10 on the second draw would be [tex]15\div 25.[/tex]
The combined probability should be

[tex](1\div 25)(15\div 25) \\\\= 15\div 625 \\\\= 0.024 \\\\= 2.4%.[/tex]

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