Question

A number cube is rolled with these results: 64 ones, 67 twos, 73 threes, 59 fours, 72 fives, and 71 sixes. What is the experimental probability of rolling an even number? Write your answer as a percent, to the nearest tenth of a percent.. . A. 51.9%. . B. 48.5%. . C. 53.6%. . D. 46.8%

Answer 1

Answer: The answer is (B) 48.5%.

Explanation: Given that a number cube is rolled with the results that 64 ones, 67 twos, 73 threes, 59 fours, 72 fives, and 71 sixes appears. We are to calculate the experimental probability of rolling an even number.

The number of ways in which an even number is rolled is given by

`n_e=67+59+71=197,`

and the total number of ways is given by

`n_t=64+67+73+59+72+71=406.`

Therefore, the required probability is given by

`p=(n_e)/(n_t)=(197)/(406)=0.485=48.5\%.`

Thus, (B) is the correct answer.

Answer 2

Answer B is correct.

P(even) = [67+59+71] / [67+59+71+64+73+72] = 48.5%

Hope that helped