Ellie has a new restaurant, and she tracked the menu items ordered in one day. The probability that the soup of the day was ordered was 0.6 . The probability that a side salad was ordered was 0.4 . The probability the soup of the day and a side salad were ordered was 0.3 . Use the addition rule to determine the probability that a randomly selected order included the soup of the day or a side salad.

Respuesta :

frika

Answer:

0.7

Step-by-step explanation:

Probability addition rule:

[tex]P(A\cup B)=P(A)+P(B)-P(A\cap B)[/tex]

In your case,

Event A = the soup of the day was ordered

Event B = the side salad was ordered

Event [tex]A\cap B[/tex] = the soup of the day and the side salad were ordered

Event [tex]A\cup B[/tex] = the soup of the day or the side salad were ordered

Hence,

[tex]P(A)=0.6\\ \\P(B)=0.4\\ \\P(A\cap B)=0.3[/tex]

and

[tex]P(A\cup B)=0.6+0.4-0.3=0.7[/tex]