The 2000 Census identified the ethnic breakdown of the state of California to be approximately as...

Question:

The 2000 Census identified the ethnic breakdown of the state of California to be approximately as follows:

White: 46%, Latino: 32%, Asian: 11%, Black: 7%, and Other: 4%.

Assuming that these are mutually exclusive categories (this is not a realistic assumption), what is the probability that a randomly selected person from the state of California is of Asian or Latino descent?

a. 46%

b. 32%

c. 11%

d. 43%

e. 3.5%

Mutually exclusive event

The mutually exclusive event is the type of event where the two or more than two events cannot occur at the same time, and therefore the probability of interaction between the events is equal to 0.

Answer and Explanation:

Given Information

White: 46%, Latino: 32%, Asian: 11%, Black: 7%, and Other: 4%


The addition rule for the two mutually exclusive events A and B is,

{eq}P\left( {A{\rm{ \ or \ B}}} \right) = P\left( A \right) + P\left( B \right){/eq}

The probability that a randomly selected person from the state of California is of Asian or Latino descent is the sum of 32% and 11% which is equal to 43%.

Therefore, the correct option is option (d).


Learn more about this topic:

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Mutually Exclusive in Statistics: Definition, Formula & Examples

from High School Algebra II: Help and Review

Chapter 25 / Lesson 8
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