Independent Events
If you roll the die 60 times, about how many times would you expect to get a 1?
How would you do this question?
Help Please.
(1/6)^ 60
The probability is 1/6 for each roll. So multiply 1/6 60 times.
To answer this question, we need to understand the concept of independent events and probability.
In this case, rolling a die can be considered an independent event because the outcome of each roll does not affect the outcome of subsequent rolls.
The probability of rolling a 1 on a fair six-sided die is 1/6, because there is only one 1 out of six possible outcomes (1, 2, 3, 4, 5, 6).
To find out how many times we can expect to roll a 1 in a specific number of rolls, we can multiply the probability of rolling a 1 by the total number of rolls.
In this case, we can calculate it as follows:
Expected number of 1's = (Probability of rolling a 1) x (Number of rolls)
Expected number of 1's = (1/6) x (60)
Expected number of 1's = 10
Therefore, you would expect to roll a 1 about 10 times if you roll the die 60 times.