If you roll a 6-sided die 96 times, what is the best prediction possible for the number of times you will roll an even number?
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P(even) = 3/6
(# even rolls) = P(even)*(#rolls)
3/6* 96 = 48.
Possibility of rolling even numbers 48 times.
3/6 = x/96
X = 48.
To predict the number of times you will roll an even number when rolling a 6-sided die 96 times, we can start by determining the probability of rolling an even number on a single roll.
A 6-sided die has three even numbers (2, 4, and 6) and three odd numbers (1, 3, and 5). Therefore, the probability of rolling an even number is 3/6, which simplifies to 1/2.
Next, we can use the concept of expected value to find the best prediction for the number of times you will roll an even number. The expected value is calculated by multiplying the probability of an event occurring by the number of times it will occur.
In this case, the expected value of the number of times an even number will occur in one roll is (1/2) * 1 = 1/2.
To find the best prediction for 96 rolls, we can multiply the expected value for one roll by the total number of rolls. Therefore, the best prediction for the number of times you will roll an even number in 96 rolls is (1/2) * 96 = 48.
Hence, the best prediction possible for the number of times you will roll an even number when rolling a 6-sided die 96 times is 48.