A 6-sided dice is rolled one time. Let A and B represent the following events: A = rolling a 6, and B = rolling a 5. These two events are because , and the probability of event A or B happening is .
Question
A 6-sided dice is rolled one time. Let A and B represent the following events: A = rolling a 6, and B = rolling a 5. These two events are because , and the probability of event A or B happening is .
Solution
The two events A and B are independent because the outcome of rolling a 6 (event A) does not affect the outcome of rolling a 5 (event B), and vice versa.
The probability of rolling a 6 (event A) is 1/6 because there is only one 6 on a 6-sided dice. Similarly, the probability of rolling a 5 (event B) is also 1/6.
The probability of either event A or event B happening is the sum of their individual probabilities because these are mutually exclusive events (i.e., they cannot both happen at the same time).
So, the probability of rolling either a 6 or a 5 is 1/6 + 1/6 = 2/6 = 1/3.
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