GMAT Math : Data Interpretation
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Example Questions
Example Question #1 :Probability
Two dice are rolled. What is the probability that the sum of both dice is greater than 8?
There are 36 possible outcomes (
Example Question #1 :Data Interpretation
Among a group of 300 people, 15% play soccer, 21% play baseball, and 9% play both soccer and baseball. If one person is randomly selected, what is the probability that the person selected will be one who plays baseball but NOT soccer?
Since there are 300 people,
Probability:
Example Question #1 :Calculating Probability
If a die is rolled twice, what is the probability that it will land on either 2 or an odd number both times?
probability on one roll:
for both times=
Example Question #1 :Data Interpretation
What is the probability of sequentially drawing 3 aces from a deck or regular playing cards when the selected cards are not replaced?
The probability of drawing an ace first is
Assuming an ace is the first card selected, the probability of selecting another ace is
为the third card, the probability is
To calculate the probability of all 3 events happening, you must multiply the probabilities:
Example Question #2 :Calculating Probability
甚至4位数大于4999多少can be formed from the numbers 2, 4, 5, and 7 if each number can be used more than once?
Since the number must be larger than 4999, the thousand’s digit has to be 5 or 7. We are also told that the number must be even. Thus, the unit’s digit must be 2 or 4. The middle digits can by any of the numbers 2,4,5, or 7. Therefore, we have a total of
Example Question #1 :Probability
What is the probability of rolling an even number on a standard dice?
A standard dice has 6 faces numbered
There are
Example Question #7 :Calculating Probability
Shawn is competing in an archery tournament. He gets to shoots three arrows at a target, and his best two shots count.
He hits the bullseye with 40% of his shots. What is the probability that he will hit the bullseye at least twice out of the three times?
There are three scenarios favorable to this event.
1: He hits a bullseye with his first two shots; the third shot doesn't matter.
The probability of this happening is
2: He hits a bullseye with his first shot, misses with his second shot, and hits with his third shot.
The probability of this happening is
3: He misses with his first shot and hits a bullseye with his other two shots.
The probability of this happening is
Add these probabilities:
Example Question #1 :Calculating Probability
商店使用上面的提升目标。为each purchase, a customer gets to toss a dart at the target, and the outcome decides his prize. If he hits a pink region, he gets nothing; if he hits a red region, he gets a 10% discount on a future purchase; if he hits a green region, he gets a 20% discount; if he hits a blue region, he gets a 40% discount.
Assume a customer hits the target and no skill is involved. What are the odds against him getting a discount?
The customer gets a discount if he does not hit a pink region. There are ten out of twenty ways to hit a pink region and ten to not hit one - this makes the odds 10 to 10, or, in lowest terms, 1 to 1 against a discount.
Example Question #9 :Calculating Probability
It costs $10 to buy a ticket to a charity raffle in which three prizes are given - the grand prize is $3,000, the second prize is $1,000, and the third prize is $500. Assuming that all of 1,000 tickets are sold, what is the expected value of one ticket to someone who purchases it?
If 1,000 tickets are sold at $10 apiece, then $10,000 will be raised. The prizes are $3,000, $1,000, and $500, so $4,500 will be given back, meaning that the 1,000 ticket purchasers will collectively lose $5,500. This means that on the average, one ticket will be worth
This is the expected value of one ticket.
Example Question #2 :Data Interpretation
Daria has 5 plates: 2 are green, 1 is blue, 1 is red, and 1 is both green and blue. What is the probability that Daria randomly selects a plate that has blue OR green on it?
The easiest way to solve this is by using the complement. Only one of the five plates is NOT blue or green. So
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