When rolling 2 six sided dice one time each, the events A= the first dice is a 6, and B = the second dice is a 5 are because , and the probability is .
Question
When rolling 2 six-sided dice one time each, the events
A = the first dice is a 6,
B = the second dice is a 5
are because
, and the probability is .
Solution
The events A and B are independent because the outcome of the first dice does not affect the outcome of the second dice.
The probability of each event can be calculated separately.
For a six-sided dice, the probability of rolling a specific number (in this case 6 for the first dice and 5 for the second dice) is 1/6 because there is only one favorable outcome (the specific number) out of six possible outcomes (the six faces of the dice).
Since the events are independent, the probability of both events occurring is the product of their individual probabilities.
So, the probability of rolling a 6 on the first dice and a 5 on the second dice is (1/6) * (1/6) = 1/36.
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