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

Answer 1

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%.

Answer 2

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 $1\div 25.$

• The probability of drawing a number greater than 10 on the second draw would be $15\div 25.$
• The combined probability should be  

$(1\div 25)(15\div 25) \\\\= 15\div 625 \\\\= 0.024 \\\\= 2.4%.$

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