Question

Two events, A and B, are independent of each other. P(A)=– and P(A and B)
Round to the nearest hundredth, if necessary.
What is P(B) written as a decimal?
A: 0.02
B: 0.04
C: 0.29
D: 0.75

Answer 1

Answer:

D: 0.75

$P(B) = \frac{6}{8} = 0.75$

Step-by-step explanation:

Explanation:-

Independent events:

If the occurrence of the  event 'B' is not effected by the occurrence or non- occurrence of the event 'A' then the event 'B' is said to be independent of 'A'

or

The two events are independent if the incidence of one event is not affect the probability of other event.

P(A∩B) = P(A) P(B)

Given data A and B are independent events

Given  data

    $P(AnB) = \frac{1}{8} and P(A) =\frac{1}{6}$

we know that A and B are independent events are

  P(A∩B) = P(A) P(B)

  $\frac{1}{8} = \frac{1}{6} P(B)$

Now calculation we get

$P(B) = \frac{6}{8} = 0.75$

Final answer:-

$P(B) = \frac{6}{8} = 0.75$

Answer 2

Answer:

D) 0.75

Step-by-step explanation:

have a good day!