A pair of dice is rolled. If the outcome is a doublet, a coin is tosse

1.	A pair of dice is rolled. If the outcome is a doublet, a coin is tossed. Determine the total number of elementary events associated to this experiment.
Answer» Given: A pair of dice is rolled , a coin is tossed. To Find: Write the sample space for the given experiment. Explanation: A pair of dice is rolled, Then, No. of elementary events are 6² = 36 Now, If outcomes is doublet means (1, 1)(2, 2)(3, 3)(4, 4)(5, 5)(6, 6), then a coin is tossed. If coin is tossed then no. of sample spaces is 2 So, The total no. of elementary events including doublet = 6×2=12 Thus, The Total number of elementary events are 30+12 = 42 Hence, 42 events will occur for this experiments.

A pair of dice is rolled. If the outcome is a doublet, a coin is tossed. Determine the total number of elementary events associated to this experiment.

Answer»

Given: A pair of dice is rolled , a coin is tossed.

To Find: Write the sample space for the given experiment.

Explanation: A pair of dice is rolled,

Then, No. of elementary events are 6² = 36

Now, If outcomes is doublet means (1, 1)(2, 2)(3, 3)(4, 4)(5, 5)(6, 6), then a coin is tossed.

If coin is tossed then no. of sample spaces is 2

So, The total no. of elementary events including doublet = 6×2=12

Thus, The Total number of elementary events are 30+12 = 42

Hence, 42 events will occur for this experiments.

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