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A die is rolled. Find the probability of the given event. Round all answers to 4 decimals.
(a) The number showing is a 6;
The probability is :
(b) The number showing is an even number;
The probability is :
(c) The number showing is greater than 2;
The probability is :
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(a) There are 6 possible outcomes 1, 2, 3, 4, 5, 6.
Of them, only one outcome is desirable: 6.
The probability to get this outcome is .
(b) There are 6 possible outcomes 1, 2, 3, 4, 5, 6.
Of them, exactly THREE outcomes are desirable: 2, 4, 6.
The probability to get a desirable outcome is = .
(c) There are 6 possible outcomes 1, 2, 3, 4, 5, 6.
Of them, exactly FOUR outcomes are desirable: 3, 4, 5, 6.
The probability to get a desirable outcome is = .
Solved.
The instruction to round the answers to 4 decimals looks like IRRELEVANT.
When the answers are so beautiful fractions, reflecting the meaning of the solution,
the request to present them as decimals does not seem very smart.
I would say, in opposite, it shows that the problem's composer does not think on what he (or she) writes.
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The lesson to learn from this my post
The lesson to learn and the general instruction on how to solve similar problems is THIS:
- determine the total number of all possible different outcomes;
- determine the number of all possible desired, or favorable, outcomes.
- Then the probability (or the answer to the problem's question) is P = .