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

Sagot :

MrRoyal

Probabilities are used to determine the chances of an event

The probability of event B is 0.62

The probabilities are given as:

[tex]\mathbf{P(A) = 0.48}[/tex]

[tex]\mathbf{P(A\ and\ B) = 0.21}[/tex]

[tex]\mathbf{P(A\ or\ B) = 0.89}[/tex]

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

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

So, we have:

[tex]\mathbf{0.21 = 0.48 + P(B) - 0.89}[/tex]

Collect like terms

[tex]\mathbf{P(B)= -0.48 +0.21 + 0.89}[/tex]

[tex]\mathbf{P(B)= 0.62}[/tex]

Hence, the probability of event B is 0.62

Read more about probabilities at:

https://brainly.com/question/11234923

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