If you roll a 6-sided die 66 times, what is the best prediction possible for the number of times you will roll an even number?
1/6 x 66 = 11
11 times
To find the best prediction for the number of times you will roll an even number when rolling a 6-sided die 66 times, we need to calculate the probability of rolling an even number and then multiply it by the total number of rolls.
The probability of rolling an even number on a fair 6-sided die is 3/6 since there are 3 even numbers (2, 4, 6) out of a total of 6 possible outcomes (1, 2, 3, 4, 5, 6).
Therefore, P(even) = 3/6 = 1/2.
To find the expected number of even rolls, we can multiply this probability by the total number of rolls:
Expected number of even rolls = P(even) * Total number of rolls
= (1/2) * 66
= 33
So, the best prediction for the number of times you will roll an even number is 33 times when rolling a 6-sided die 66 times.
prob(even) = 3/6, since there are 3 evens in the 6 numbers on a die.
= 1/2
so number of times you expect that event out of 66 rolls is ......