Solutions
Get detailed explanations to advanced GMAT questions.
Question
A certain store sells small, medium, and large toy trucks in each of the colors red, blue, green, and yellow. The store has an equal number of trucks of each possible color-size combination. If Paul wants a medium, red truck and his mother will randomly select one the trucks in the store, what is the probability that the truck she selects will have at least one of the two features Paul wants?
Option A:
1/4
Option B:
1/3
Option C:
1/2
Option D:
7/12
Option E:
2/3
Difficulty Level
HardSolution
Option C is the correct answer.
Option Analysis
The probability of NOT selecting medium out of 3 sizes = 2/3
The probability of NOT selecting red out of 4 colors = 3/4
Total probability of NOT selecting red and medium = (2/3)*(3/4) = 1/2
Required probability = 1 – 1/2 (this will select at least one of red and medium)
= 1/2
Related Questions
- In the triangle above, is x > 90?
- The median length of the 13 logs in shipment x was 84 inches, and the median length of the 21 logs in shipment…
- If 0 < x < 2, which of the following must be greatest?
- During an experiment, the temperature of a liquid was measured several times. The temperatures, in degree…
- At a sale all books were priced equally and all magazines were priced equally. What was the price of 3…
One thought on “A certain store sells small, medium, and large toy trucks in each of the colors red, blue, green, and yellow…”
Here, it is asked probability of AT LEAST ONE of the TWO features. That implies Probability of getting one of the feature as well as both the features.
So, the correct answer will be 7/12 as solved below:
P(Red but NOT Medium) OR P(Medium but NOT Red) OR P(Both Red and Medium) = (1/4 * 2/3) + (1/3 * 3/4) + (1/3 * 1/4) = 7/12 i.e. Option D.