Find the probability that you will roll an even number exactly 5 times when you: roll a six-sided number cube 10 times. P = 0.246 roll a six-sided number cube 20 times. P = 0.015 Explain why the second result is less.

Answer and explanation:Given : The probability that you will roll an even number exactly 5 times when you: roll a six-sided number cube 10 times. P = 0.246 roll a six-sided number cube 20 times. P = 0.015To find : Explain why the second result is less ?Solution : We have given that,The probability that you will roll an even number exactly 5 times when we roll a six-sided number cube 10 times is P = 0.246.Rolling a dice 10 times and get 5 times is [tex]\frac{5}{10}=0.5[/tex]The probability that you will roll an even number exactly 5 times when we roll a six-sided number cube 20 times is P = 0.015.Rolling a dice 20 times and get 5 times is [tex]\frac{5}{20}=0.25[/tex]Since, the second result is less than first because 0.25 is less than 0.5 which means chances of 5 times in 20 times roll is less than 10 times.