(I know I already posted this but I forgot to say what I thought the answer was)
While on a camping trip, Walter is thinking about riding his bike to one of the two hills. There are some chances of rain and it is possible that the roads to the hills are blocked after the recent storm. Walter is willing to attempt a ride to a hill if the probability of avoiding both rain and a blocked road is higher than 50%. Based on the probabilities in the table, what are Walter’s options?
Hill 1 | Hill 2
Road Block | 0.2 | 0.4
Rain | 0.25 | 0.15
A. Hill 1 only
B. Hill 2 only
C. both hills
D. neither of the hills
I think its Hill 1 (only) But I'm not sure
To determine Walter's options, we need to calculate the probability of avoiding both rain and a blocked road for each hill.
For Hill 1, the probability of avoiding a blocked road is 1 - 0.2 = 0.8, and the probability of avoiding rain is 1 - 0.25 = 0.75. The probability of avoiding both rain and a blocked road is 0.8 * 0.75 = 0.6.
For Hill 2, the probability of avoiding a blocked road is 1 - 0.4 = 0.6, and the probability of avoiding rain is 1 - 0.15 = 0.85. The probability of avoiding both rain and a blocked road is 0.6 * 0.85 = 0.51.
Since the probability of avoiding both rain and a blocked road for Hill 1 (0.6) is higher than 50%, but the probability for Hill 2 (0.51) is not, Walter's options are limited to Hill 1 only. Therefore, your thinking that the answer is Hill 1 (only) is correct.