A fair die is thrown once . Find the probably of getting a number divided by 3
Mathematics
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Step-by-step solution
4 stepsIdentify the total possible outcomes when a fair die is thrown once.
The possible outcomes are the numbers on the faces of the die: {1, 2, 3, 4, 5, 6}.
The total number of outcomes is 6.Identify the favorable outcomes for the event "getting a number divisible by 3".
From the possible outcomes {1, 2, 3, 4, 5, 6}, the numbers divisible by 3 are {3, 6}.
The number of favorable outcomes is 2.Calculate the probability.
The formula for probability is:
P(Event) = (Number of favorable outcomes) / (Total number of outcomes)P(number divisible by 3) = 2 / 6
Simplify the probability.
P(number divisible by 3) = 1/3
The probability of getting a number divisible by 3 is 1/3.
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