jakob rolls an 8 - sided die that is numbered from 1 through 8 a total of 400 times. about how many times…

jakob rolls an 8 - sided die that is numbered from 1 through 8 a total of 400 times. about how many times should jakob expect to roll a 5?\n50\n80\n250\n350

jakob rolls an 8 - sided die that is numbered from 1 through 8 a total of 400 times. about how many times should jakob expect to roll a 5?\n50\n80\n250\n350

Answer

Answer:

A. 50

Explanation:

Step1: Calculate probability of rolling a 5

The probability $P$ of rolling a 5 on an 8 - sided die is $P=\frac{1}{8}$ since there is 1 favorable outcome (rolling a 5) out of 8 possible outcomes.

Step2: Calculate expected number of times

The expected number of times $E$ of rolling a 5 in 400 rolls is given by the formula $E = n\times P$, where $n = 400$ and $P=\frac{1}{8}$. So $E=400\times\frac{1}{8}=50$.