Respuesta :

Answer:

C is the correct option

Step-by-step explanation:

To find the probability of P(a or b) we will use  the formula:

P(a or b)= P(a)+ P(b) - P(a-b)

Now put the given values in the formula:

P(a or b)= 0.60+0.25-0.15

P(a or b)=0.85 - 0.15

P(a or b)= 0.70

Thus the correct option is C....

Answer: Option C

[tex]P (A\ or\ B) = 0.70[/tex]

Step-by-step explanation:

If A and B are events that are not mutually exciting, then it is true that:

[tex]P (A\ or\ B) = P (A) + P (B) - P (A\ and\ B)[/tex]

In this case we know [tex]P(A)[/tex], [tex]P(B)[/tex] and we also know [tex]P (A\ and\ B)[/tex]

[tex]P(A)=0.60[/tex]

[tex]P(B) = 0.25[/tex]

[tex]P(A\ and\ B)=0.15[/tex]

Therefore we have that:

[tex]P (A\ or\ B) = 0.60 + 0.25 - 0.15[/tex]

[tex]P (A\ or\ B) = 0.60 + 0.1[/tex]

[tex]P (A\ or\ B) = 0.70[/tex]