All GRE Subject Test: Math Resources
Example Questions
Example Question #1 :Probability & Statistics
A student has 14 piece of gum, 3 are spearmint, 5 are peppermint, and the rest are cinnamon. If one piece of gum is chosen at random, which of the following is NOT true.
The probability of picking a spearmint is.
The probability of picking a cinnamon or a peppermint is.
The probability of not picking a cinnamon is.
The probability of picking a cinnamon is.
The probability of picking a spearmint or a cinnamon is.
The probability of picking a spearmint or a cinnamon is.
The probability of picking a spearmint or a cinnamon is the addition of probability of picking a spearmint and the probability of picking a cinnamon
not
Example Question #1 :Probability & Statistics
If I toss a coin 3 times, how many times will I roll at least one head?
None of the Above
Step 1: We need to find out how many outcomes there will be.
If we roll a coin three times, there areoutcomes.
If we roll a cointimes, there will beoutcomes.
Step 2: Find all the outcomes.
The outcomes here are: HHH, HHT, HTH, HTT, THH, THT, TTH, and TTT.
Step 3: In the list of outcomes, count how many times the letter H appears at least once.
The letter "H" appears in HHH, HHT, HTH, HTT, THH, THT, and TTH.
The letter "H" appears inof theoutcomes.
The probability of getting at least one H in the outcomes in Step 2 is.
Example Question #1 :Sample Spaces
How many different combinations can i have when flipping a cointhreetimes?
Step 1: Let's answer a smaller problem. How many ways can I toss one coin?
There are two ways, either I get Heads or Tails.
Step 2: How about two coins?
There are four ways... They are, HH, HT, TH, and TT
Step 3: How many different combinations for three coins?
Let's List them:
HHH, HHT, HTH, THH, TTT, THT, TTH, HTT
There aredifferent combinations.
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