catherine has a 6 - sided number cube that is numbered from 1 through 6. she plans on rolling the number…
catherine has a 6 - sided number cube that is numbered from 1 through 6. she plans on rolling the number cube 60 times. about how many times should she expect to roll a number that is greater than 4?\n10\n15\n20\n40
Answer
Explanation:
Step1: Determine favorable outcomes
Numbers greater than 4 on a 6 - sided cube are 5 and 6. So there are 2 favorable outcomes out of 6 total outcomes.
Step2: Calculate probability
The probability $P$ of rolling a number greater than 4 is $P=\frac{2}{6}=\frac{1}{3}$.
Step3: Find expected number of rolls
She rolls the cube 60 times. The expected number of times $E$ of rolling a number greater than 4 is $E = 60\times\frac{1}{3}=20$.
Answer:
20