Tyler flips a two-sided counter and rolls a six-sided number cube. One side of the counter is red. The other side is yellow. He does this 60 times and finds that the relative frequency of tossing yellow and rolling a number less than 3 is 14 . What is the difference between the number of actual outcomes and the number of expected outcomes?

Respuesta :

Answer: 830

Step-by-step explanation:

To find the difference between the number of actual outcomes and the number of expected outcomes, we first need to calculate the expected outcomes.

The probability of tossing yellow on the counter is 1/2, and the probability of rolling a number less than 3 on the number cube is 2/6 (since there are 2 numbers less than 3 on a 6-sided cube).

Therefore, the probability of both events happening is (1/2) * (2/6) = 1/6.

If Tyler performs this experiment 60 times, the expected number of times he will get yellow and a number less than 3 is 60 * (1/6) = 10.

Given that the relative frequency is 14, the actual number of times this event occurred is 60 * 14 = 840.

The difference between the actual outcomes (840) and the expected outcomes (10) is 840 - 10 = 830.