A die is thrown. Find the probability of getting an even number
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The probability of getting an even number on the first side when a pair of dice is thrown once is 1/2. Let's look into the possible outcomes. Let E be the event of getting an even number on the first side. Thus, the probability of getting an even number on the first side = 18/36 = 1/2.
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The sample space has 6 possible outcomes-
={1,2,3,4,5,6}.
all outcomes are equally likely
Hence Probability of any one outcome occurring= 1/6.
The event that we get that an even number on tossing the die can occur in 3 possible ways.
Let E denote this event.
E={2,4,6}
Now P(E)= 3×1/6×1/2
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