2005 iTest Problems/Problem 10
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Problem
The probability of U2 dismantling an atomic bomb is 
. The probability of Coldplay finding X & Y is 
. If the probability of both events occurring is 
find the probability that neither occurs.
Solution 1
By the Principle of Inclusion-Exclusion, the probability of U2 dismantling an atomic bomb and Coldplay NOT finding X & Y is 
. Similarly, the probability of Coldplay finding X & Y and U2 NOT dismantling an atomic bomb is 
. Therefore, the probability that neither occurs is 
.
See Also
| 2005 iTest (Problems, Answer Key) | ||
| Preceded by: Problem 9 |
Followed by: Problem 11 | |
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