question archive A number cube has sides labeled 1 to 6

A number cube has sides labeled 1 to 6

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A number cube has sides labeled 1 to 6. Hannah rolls the number cube 18 times. How many times can she expect to roll a number less than 3?

A.6
B.8
C.2
D.3

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Answer:

6

Step-by-step explanation:

The expected value is the number of rolls multiplied by the probability of each success on the roll (as success is the top face of the die is a 2 or a 1) and the probability of that success is 2/6 which reduces to 1/3

So the expected value in 18 rolls

= 18 x 1/3