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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A die is rolled. Let E be the event “die shows 4” and F be the event “die shows even number”. Are E and F mutually exclusive?
Solution:
Two events are said to be mutually exclusive if they have no common element.
When a die is rolled, the sample space is given by
S = {1, 2, 3, 4, 5, 6}
According to the given problem, E is the event “die shows 4”. So E = {4}
and F is the event “die shows even number”. So F = {2, 4, 6}
It is observed that E ∩ F = {4} ≠ ϕ
Therefore, E and F are not mutually exclusive events
NCERT Solutions Class 11 Maths Chapter 16 Exercise 16.2 Question 1
A die is rolled. Let E be the event “die shows 4” and F be the event “die shows even number”. Are E and F mutually exclusive?
Summary:
A die is rolled. Let E be the event “die shows 4” and F be the event “die shows even number”. Then E and F are not mutually exclusive events
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