The probability of event A is 0. 48, the probability of event A and B is 0. 21, and the probability of events A or B is 0. 89. W

Question

3 years ago

14

hat is the probability of event B? 0. 09 0. 20 0. 27 0. 62.

1 answer:

Mice21 [21] · Answer 1 · 2022-08-21T13:23:41+03:00

Probabilities are used to determine the chances of an event

The probability of event B is 0.62

The probabilities are given as:

$\mathbf{P(A) = 0.48}$

$\mathbf{P(A\ and\ B) = 0.21}$

$\mathbf{P(A\ or\ B) = 0.89}$

To calculate the probability of event B, we make use of the following formula

$\mathbf{P(A\ and\ B) = P(A) + P(B) - P(A\ or\ B)}$

So, we have:

$\mathbf{0.21 = 0.48 + P(B) - 0.89}$

Collect like terms

$\mathbf{P(B)= -0.48 +0.21 + 0.89}$

$\mathbf{P(B)= 0.62}$

Hence, the probability of event B is 0.62