Question

Lindsey is going to roll a fair 6-sided side 180 times. What is the best prediction for the number of times that she will roll the number 5.​

Answer 1

ANSWER: 30

EXPLANATION:
The chances of rolling a 5 out of 6 different numbers is 1/6, because 5 only appears once

Now, the probability of the number of times she rolls a 5 (1/6 chance) in 180 rolls would be the chances of rolling a 5 in one roll (1/6) times the number of rolls (180)

So the number of times a 5 is rolled in 180 rolls is (1/6) x 180 = 30

The best prediction for the number of times Lindsey will roll the number 5 in 180 rolls is 30.

Answer 2

We can first find the probability of rolling a number greater than 4 which is 2/6. This can simplify to 1/3. We then want to multiply this probability by the number of times Jeremy is actually rolling the dice:

(1/3)(180)=60

He will probably roll a number greater than four 60 times.