A die is rolled 260 times. Predict how many times it will show a 3 or a 5.

I've been stuck on this question for so long!

1/3*260=86.667

there is a 1/3 chance of rolling a 3 or a 5.

So, 1/3 of the time, you are likely to get that.

What is 1/3 of 260?

It’s 86 i had this problem and the answer was β€œC” for me πŸ˜­πŸ“Œ

on my test the option closest to 86 is 87

Thx

To predict how many times a die will show a 3 or a 5 when rolled 260 times, we need to make use of probability.

Step 1: Determine the Probability of Rolling a 3 or a 5 on a Single Roll
A standard die has six sides, numbered from 1 to 6. Out of these six numbers, 3 and 5 are the only numbers that meet our criteria. Therefore, the probability of rolling a 3 or a 5 on a single roll is 2/6, which simplifies to 1/3.

Step 2: Calculate the Expected Number of 3's or 5's
The expected number of 3's or 5's can be found by multiplying the probability of rolling a 3 or a 5 on a single roll by the total number of rolls. In this case, the expected number is given by:
Expected Number = Probability of Rolling a 3 or a 5 on a Single Roll * Total Number of Rolls
Expected Number = (1/3) * 260
Expected Number = 260/3
Expected Number β‰ˆ 86.67 (rounded to the nearest whole number)

Therefore, we predict that the die will show a 3 or a 5 approximately 87 times when rolled 260 times.