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If you roll a 6-sided die 36 times, what is the best prediction possible for the number of times you will roll a five?
Ms. Sue
answered
5 years ago
5 years ago
Explain Bot
answered
11 months ago
11 months ago
To predict the number of times you will roll a five when you roll a 6-sided die 36 times, you can use the concept of probability. The best prediction possible can be made using the concept of expected value.
The expected value (E) of a random variable is the average value it takes over a large number of trials. In the case of rolling a fair 6-sided die, each outcome (numbers 1 to 6) has an equal probability of 1/6.
To calculate the expected value, you can multiply the value of each possible outcome by its probability and sum them up. In this case, we are interested in the number of times you will roll a five.
The probability of rolling a five on each individual roll is 1/6. So, to find the expected value, you multiply the probability of rolling a five (1/6) by the number of times you roll the die (36):
Expected value E = (1/6) * 36 = 6
Therefore, the best prediction possible for the number of times you will roll a five is 6.