Question

Elisa is going to adopt a kitten. The shelter has 30 kittens which are as following: 23% are black, 50% are tabby, 7% are calico, and 20% are ginger. What is the probability that Elisa does not get a ginger cat?

Answer 1

The probability that Elisa does not get a ginger cat is 0.8 or 80%.

What is the probability?

• If a is an event in a sample space S then the probability P(A) = n(A)/n(S), where n(A) is the number of sample points in A and n(S) is the number of sample points in S.
• If A is an event in a sample space S, then the ratio $P(A) : \bar {P(A)}$ is called the odds in favor of A and $\bar {P(A)}:P(A)$ is called the odds against A.
• The probability $\bar {P(A)}=1-P(A)$.

Calculation:

It is given that,

Elisa is going to adopt a kitten. The shelter has 30 kittens.

In which,

Black: 23% = 23/100 × 30 = 69/10

Tabby: 50% = 50/100 × 30 = 15

Calico: 7% = 7/100 × 30 = 21/10

Ginger: 20% = 20/100 × 30 = 6

The event that "Elisa does not get a ginger cat" is the odds against the actual event that "Elisa gets a ginger cat".

So, we can write,

$\bar {P(G)} = 1 - P(G)$

         = 1 - 6/30

         = 0.8

Thus, the probability that Elisa does not get a ginger cat is 0.8 or 80%.

Learn more about probability here:

https://brainly.com/question/22689638

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