Question Video: Finding the Probability of Intersection of Two Mutually Exclusive Events Mathematics

If a die is rolled once, then what is the probability of getting an odd and an even number together?

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Video Transcript

If a die is rolled once, then what is the probability of getting an odd and an even number together?

The events in this question are mutually exclusive as these two events cannot happen simultaneously. There are no numbers which are both odd and even. The intersection of these two events 𝐴 and 𝐡 is the empty set. As there are no elements in the set 𝐴 intersect 𝐡, the probability of this occurring is zero. It’s impossible to have a number which is both odd and even.

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