The tree diagram below shows the distribution of cars sold and whether each type got upgrades or not.
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 the probabilities of all branches where the vehicle gets an upgrade.
The total number of branches where the vehicle gets an upgrade is 7 (2 + 1 + 4).
Therefore, the probability of a random vehicle getting an upgrade is:
P(upgrade) = 7/14 = 0.5
So, the probability of a random vehicle getting an upgrade is 0.5 or 50%.
You decide to select one ice cream flavor and one topping randomly. (All choices have an equal chance.) Using the tree diagram, what is the probability of getting a strawberry ice cream with sprinkles? Write your answer as a faction. You do not need to simplify.
To find the probability of selecting a strawberry ice cream with sprinkles, we need to find the branch in the tree diagram that represents this combination.
From the tree diagram:
- The probability of selecting a strawberry ice cream is 4/12 = 1/3
- Given that a strawberry ice cream is selected, the probability of selecting sprinkles is 2/4 = 1/2
Therefore, the probability of selecting a strawberry ice cream with sprinkles is:
P(strawberry ice cream with sprinkles) = (1/3) * (1/2) = 1/6
So, the probability of getting a strawberry ice cream with sprinkles is 1/6.
The tree diagram relates the weather forecast and school closings. Find the probability that the school is closed tomorrow.
H - heavy snowfall
L - light snowfall
C - closed
O - open