Combine 2 probabilities

Question

There is a pathway with a farm on each side (right and left)

A: a chicken walks through the pathway and has 75% probability of turning right going to the right farm

B: a duck walks through the pathway and has 60% probability of turning right going to the right farm

Qquestion: what is the overall probability of any animal turning right based on the above given figures. How to calculate it ? (Averageis not what I'm looking for)

Answer 1

ok, so we're looking for the probability that either (at least one) of the birds goes right.

One way to do this is to find the probability that they both go left, and then the complement of this is our answer!

So the probability that a chicken goes left is 0.25 and the probability that the duck goes left is 0.4. So the probability they both go left is 0.25 x 0.4 = 0.1 So the probability that at least one of them goes right is 1 - 0.1 = 0.9 and that's your answer!

Hope that helps!