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Get Answers to all your Questions
1. A die is rolled. Let E be the event “die shows ” and F be the event “die shows even number”. Are E and F mutually exclusive?
Answers (1)
When a die is rolled, the sample space of possible outcomes:
S = {1, 2, 3, 4, 5, 6}
Now,
E = event that the die shows 4 = {4}
F = event that the die shows even number = {2, 4, 6}
E F = {4}
{2, 4, 6}
= {4}
Hence E and F are not mutually exclusive event.
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