First, we need to find the probability of rolling a six in Ralph's initial experiment. He rolled a six 14 times out of 69 rolls, so the probability is 14/69.

Next, we use this probability to estimate the expected number of sixes in 120 rolls. We multiply the probability of rolling a six (14/69) by the number of rolls (120).

So, the calculation is (14/69) * 120.

After performing the calculation, we get approximately 24.35.

Since we can't roll a fraction of a time, we round this to the nearest whole number. So, Ralph would expect to roll a six approximately 24 times if he rolled the dice 120 times.

Question

First, we need to find the probability of rolling a six in Ralph's initial experiment. He rolled a six 14 times out of 69 rolls, so the probability is 14/69.

Next, we use this probability to estimate the expected number of sixes in 120 rolls. We multiply the probability of rolling a six (14/69) by the number of rolls (120).

So, the calculation is (14/69) * 120.

After performing the calculation, we get approximately 24.35.

Since we can't roll a fraction of a time, we round this to the nearest whole number. So, Ralph would expect to roll a six approximately 24 times if he rolled the dice 120 times.

Knowee AI · Accepted Answer

First, we need to find the probability of rolling a six in Ralph's initial experiment. He rolled a six 14 times out of 69 rolls, so the probability is 14/69.

Next, we use this probability to estimate the expected number of sixes in 120 rolls. We multiply the probability of rolling a six (14/69) by the number of rolls (120).

So, the calculation is (14/69) * 120.

After performing the calculation, we get approximately 24.35.

Since we can't roll a fraction of a time, we round this to the nearest whole number. So, Ralph would expect to roll a six approximately 24 times if he rolled the dice 120 times.

In an experiment, Ralph rolled a dice 69 times and got 14 sixes. How many sixes would he expect to roll if he rolled the dice 120 times? Round to the nearest unit.

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