We are given a diagram that shows four birds sitting on a telephone wire and the distances between them. We want to find the probability that a fifth bird landing at a randomly selected point between birds 1 and 4 sits at some point between birds 3 and 4. We can model the given situation using a number line.
To find our probability we will use geometric probability. The probability of a bird landing between birds 3 and 4 is the ratio of the distance between birds 3 and 4 to the distance between birds 1 and 4. As we can see from the diagram, the distance between birds 3 and 4 is 8 inches. The distance between birds 1 and 4 is 24 inches.
Now, let's calculate our probability!
P(bird lands between birds3and 4) = distance between birds3and4/distance between birds1and4
The probability that a bird landing randomly between birds 1 and 4 will sit between birds 3 and 4 is 13, which can be written as a decimal as approximately 0.33, or approximately 33 %.
