1 Answer

Russell McClure · Answer 1 · 2021-11-16T14:31:11+0000

Answer:

$P(A\ and\ B) = (3)/(7)$

Explanation:

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Required

Find P(A n B)

where

A = Event that the place is a city

B = Event that the place is in North

The first step is to get the sample space;

Let S represent the sample space;

$S = \{India,\ Tokyo,\ Houston,\ Peru,\ New York,\ Tijuana,\ Canada \}$

n(S) = 7

The next is to list events A and B

A = City

$A = \{Tokyo,\ Houston,\ New York,\ Tijuana\}$

B = North America

$B = \{Houston,\ New York,\ Tijuana,\ Canada\}$

The next is to list common elements in A and B

$A\ n\ B = \{Houston,\ New York,\ Tijuana\}$

$n(A\ and\ B) = 3$

The probability of A and B is calculated as follows;

$P(A\ and\ B) = (n(A\ and\ B))/(n(S))$

Substitute
$n(A\ and\ B) = 3$ and
n(S) = 7 in the expression above

$P(A\ and\ B) = (3)/(7)$

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