The tree diagram below shows the distribution of cars sold and whether each type got upgrades or not.
Sedans 0.7 /upgrade
0.6 / \no upgrade 0.3
0.4 \ /upgrade 0.4
Trucks 0.6\no upgrade
Find the probability of a random vehicle getting an upgrade
To find the probability of a random vehicle getting an upgrade, we need to sum up the probabilities of all the outcomes where the vehicle gets an upgrade.
P(upgrade) = P(Sedan and upgrade) + P(Truck and upgrade)
= (0.7 * 0.6) + (0.6)
= 0.42 + 0.6
= 1.02
Therefore, the probability of a random vehicle getting an upgrade is 1.02, which is not a valid probability since probabilities should be between 0 and 1. There appears to be a mistake in the given tree diagram.