Let E be the event that a corn crop has an infestation of ear worms, and let B be the event that a corn crop has an infestation of corn borers. Suppose that P(E)=0.24, P(B)=0.17, and P(E and B)=0.1 . Find the probability that a corn crop ha either an ear worm infestation, a corn borer infestation, or both.
A) 0.51
B) 0.1
C) 0.31
D) 0.59

Question

Quizplus · Accepted Answer

To find the probability that a corn crop has either an ear worm infestation, a corn borer infestation, or both, we need to find P(E or B). We can use the formula P(E or B) = P(E) + P(B) - P(E and B) . Plugging in the given values: 
P(E or B) = P(E) + P(B) - P(E and B)
P(E or B) = 0.24 + 0.17 - 0.1
P(E or B) = 0.31 
Therefore, the probability that a corn crop has either an ear worm infestation, a corn borer infestation, or both is 0.31.

Let E Be the Event That a Corn Crop Has