What value of p makes A and B mutually exclusive events?

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In summary, the question is asking for the value of p in which events A and B will be mutually exclusive, given that the probability of A is 0.4, the probability of B is p, and the probability of A or B is 0.8. Using the formula P(A or B) = P(A) + P(B) - P(A & B), we can solve for p and round to four decimal places to get the desired value.
  • #1
das1
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Here's another probability question that's confusing me, any help would be appreciated!

Let A and B be two events with P(A) = 0.4, P(B) = p, and P(A or B) = 0.8. For what value of p will A and B be mutually exclusive? (Round to four decimal places as appropriate.)
 
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  • #2
das said:
Here's another probability question that's confusing me, any help would be appreciated!

Let A and B be two events with P(A) = 0.4, P(B) = p, and P(A or B) = 0.8. For what value of p will A and B be mutually exclusive? (Round to four decimal places as appropriate.)

Two events A and B are mutually exclusive if P (A & B)=0. In general is P(A or B) = P(A) + P(B) - P(A & B), so that...

Kind regards

$\chi$ $\sigma$
 
  • #3
That was the formula I wanted, thanks!
 

FAQ: What value of p makes A and B mutually exclusive events?

What is the difference between probability and statistics?

Probability is the study of the likelihood of events occurring, while statistics is the collection, analysis, and interpretation of data to make informed decisions or predictions.

What is the formula for calculating probability?

The formula for calculating probability is: P(A) = Number of favorable outcomes / Total number of possible outcomes.

How do you determine if events are independent or dependent?

If the outcome of one event does not affect the outcome of another event, they are considered independent. If the outcome of one event does affect the outcome of another event, they are considered dependent.

What is the difference between theoretical and experimental probability?

Theoretical probability is based on mathematical calculations and assumptions, while experimental probability is based on actual data and observations from experiments or real-life events.

How is probability used in real life?

Probability is used in various fields such as finance, sports, medicine, and weather forecasting to make predictions and informed decisions based on the likelihood of certain events occurring.

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