Question 1203851: 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 :
Found 2 solutions by ikleyn, mananth:
Answer by ikleyn(52781)   (Show Source):
You can put this solution on YOUR website! .
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 :
~~~~~~~~~~~~~~~~~~~~~~~~~
(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 =  .
Answer by mananth(16946)  (Show Source):
You can put this solution on YOUR website!
A die is rolled. Find the probability of the given event. Round all answers to 4 decimals.
Probability (P) = Number of favorable outcomes / Total number of possible outcomes
(a) The number showing is a 6;
1 favorable outcome rolling a 6,
Total number of possible outcomes 6
The probability is : 1/6=0.1667
(b) The number showing is an even number;
2,4,6 favorable outcomes =3
The probability is :3/6 =1/2 = 0.5
(c) The number showing is greater than 2;
4 favorable outcomes 3, 4, 5, and 6
The probability is : 4/6 =0.6667
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