Question:
The probability of rolling a number less than 3 on a number cube is 2/6 . Jennifer rolls a number cube 60 times. How many times should Jennifer expect to roll a number less than 3?
Answer:
The expected value is 20
Step-by-step explanation:
Given
[tex]n= 60[/tex] --- Number of rolls
[tex]p = \frac{2}{6}[/tex] -- probability
Required
Determine the expected value
Expected value (E(x)) is calculated using:
[tex]E(x) = n * p[/tex]
Substitute values for n and p
[tex]E(x) = 60 * \frac{2}{6}[/tex]
[tex]E(x) = \frac{120}{6}[/tex]
[tex]E(x) = 20[/tex]