Respuesta :

kudzordzifrancis
ANSWER

[tex]P(A \: and \: B)=0.1904[/tex]

EXPLANATION


If event A and event B are independent, then

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


It was given that, the probability of event A is,

[tex]P(A)=0.56[/tex]

and the probability of event B is,

[tex]P(B)=0.34[/tex]

Since events A and B are independent,

[tex]P(A \: and \: B)=0.56 \times 0.34[/tex]


[tex]P(A \: and \: B)=0.1904[/tex]

The probability of event A is 0.56, And the probability of event B is 0.34. The probability of A and B is 0.1904.

What is the probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Given

The probability of event A is 0.56, and the probability of event B is 0.34.

To find

The probability of A and B.

How to find the probability of A and B?

The probability of event A is 0.56,

And the probability of event B is 0.34.

then we have the formula to calculate the probability.

P(A and B) = P(A) x P(B)

P(A and B) = 0.56 x 0.34

P(A and B) = 0.1904

Thus, The probability of A and B is 0.1904.

More about the probability link is given below.

https://brainly.com/question/795909