## John is about to roll a six sided, fair number cube 60 times. He wants to predict how many times the cube will land on an even n

Question

John is about to roll a six sided, fair number cube 60
times. He wants to predict how many times the cube will
land on an even number. He makes a prediction of 20
times. Is it a good prediction? What would your prediction
be based on theoretical probability?

in progress 0
1 week 2021-09-10T10:24:46+00:00 2 Answers 0

A number cube has 3 even numbers. Each even number has a theoretical probability of 1/6. In 60 rolls, an even number could come up ten times. Since there are 3 even numbers, the total predicted value is 30. So 20 is a low prediction.

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No it is not a good prediction. Theoretical probability says that the answer would be 30 of the 60 (30/60) rolls would be even numbers.

Step-by-step explanation:

The probability of rolling an even number on a fair six sided die is 3/6 or 1/2 when simplified.

if john rolls the die 60 times, multiply the theoretical probability (1/2) by the number of rolls

(1 รท 2) x 60 = 30

โด theoretical probability says that john would roll an even number 30 out of the 60 rolls

I hope this was helpful ๐