If the probability of a family owning a cat is 0.10, the probability of owning a dog is 0.20, and the probability of owning a cat and a dog is 0.08, what is the probability of a family owning a cat or a dog?

Respuesta :

Probability helps us to know the chances of an event occurring. The probability of a family owning a cat or a dog is 0.22.

What is Probability?

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

As it is given that the probability of a family owning a cat is 0.10, the probability of owning a dog is 0.20, and the probability of owning a cat and a dog is 0.08. Therefore, the probability of a family owning a cat or a dog can be written as,

Probability (family owning a cat or a dog)

= Probability (Cat) + Probability (Dog) - Probability (Cat And Dog)

[tex]\text{Probability (family owning a cat or a dog)} = 0.10+0.20-0.08 = 0.22[/tex]

Hence, the probability of a family owning a cat or a dog is 0.22.

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