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

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SUMMARY

To determine the value of p that makes events A and B mutually exclusive, given P(A) = 0.4 and P(A or B) = 0.8, we apply the formula P(A or B) = P(A) + P(B) - P(A & B). Since A and B are mutually exclusive, P(A & B) = 0. Thus, the equation simplifies to P(A or B) = P(A) + P(B). Solving for p, we find that p must equal 0.4, resulting in P(B) = 0.4.

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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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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

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

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