Respuesta :
Answer:
the correct answer is (a) 46%.
Step-by-step explanation:
To find the probability that someone owns a cat or a dog, we can use the principle of inclusion and exclusion. The formula is:
�
(
A or B
)
=
�
(
A
)
+
�
(
B
)
−
�
(
A and B
)
P(A or B)=P(A)+P(B)−P(A and B)
where
�
(
A or B
)
P(A or B) is the probability of owning a cat or a dog,
�
(
A
)
P(A) is the probability of owning a cat,
�
(
B
)
P(B) is the probability of owning a dog, and
�
(
A and B
)
P(A and B) is the probability of owning both.
Let:
�
(
A
)
P(A) be the probability of owning a cat = 35%
�
(
B
)
P(B) be the probability of owning a dog = 31%
�
(
A and B
)
P(A and B) be the probability of owning both = 20%
Now, plug these values into the formula:
�
(
A or B
)
=
35
%
+
31
%
−
20
%
P(A or B)=35%+31%−20%
�
(
A or B
)
=
46
%
P(A or B)=46%
Therefore, the correct answer is (a) 46%.
