The probability of randomly selecting a cat or dog is P(cat or dog) = P(cat) + P(dog)
Since we cannot select a cat and dog at the same time, their probabilities are mutually exclusive
Probability of mutually exclusive events
If we have events a and b which are mutually exclusive with probabilities P(a) and P(b) respectively, the probability of a or b is P(a or b) = P(a) + P(b)
Probability of randomly selecting a cat or dog
Let
- P(cat) = probability of selecting a cat and
- P(dog) = probability of selecting a dog
So, probability of randomly selecting a cat or dog is
P(cat or dog) = P(cat) + P(dog)
So, probability of randomly selecting a cat or dog is P(cat or dog) = P(cat) + P(dog)
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