alleryTwo coins are tossed. What is the probability of getting exactly one head?
- 1/2
- 1/4
- 3/4
- 1/3
Show answer and solution
Correct answer: A. 1/2
Sample space {HH, HT, TH, TT}.
**Exactly one head:** {HT, TH}. P = 2/4 = 1/2.
GRE Statistics and Probability — practice questions — page 5
Explore 171 free Statistics and Probability questions in GRE Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
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Two coins are tossed. What is the probability of getting exactly one head?Read the answer and worked solution →A card is drawn from a deck. What is the probability that it is neither a king nor a queen?Read the answer and worked solution →A bag has 4 red and 6 blue balls. One ball is drawn at random. What is the probability that it is NOT red?Read the answer and worked solution →A box has cards numbered 1 to 20. One card is drawn. What is the probability that the number is a perfect square?Read the answer and worked solution →A die is rolled. What is the probability of getting a prime number?Read the answer and worked solution →A card is drawn from a deck. What is the probability of getting a heart or a king?Read the answer and worked solution →Two dice are rolled. What is the probability that the product of the numbers is 12?Read the answer and worked solution →A box has 100 bulbs of which 4 are defective. One bulb is chosen at random. What is the probability that it is not defective?Read the answer and worked solution →The mean of the data 4, 7, 9, 10, 15 is:Read the answer and worked solution →For grouped data, the **class mark** of an interval is:Read the answer and worked solution →In the direct method, Mean = ?Read the answer and worked solution →For the step-deviation method, uᵢ is defined as:Read the answer and worked solution →The mode of the data 3, 4, 4, 5, 6, 6, 6, 7, 8 is:Read the answer and worked solution →For grouped data, the modal class is the class with the:Read the answer and worked solution →The median of the data 8, 12, 15, 17, 21, 24, 29 (n=7) is:Read the answer and worked solution →For grouped data, the median formula is l + [(n/2 − cf) / f] · h, where "cf" stands for:Read the answer and worked solution →If Mean = 28 and Mode = 24, estimate the Median using 3·Median = Mode + 2·Mean.Read the answer and worked solution →A "less-than" ogive is plotted with which values on the y-axis?Read the answer and worked solution →The x-coordinate of the point where the less-than and more-than ogives intersect equals the:Read the answer and worked solution →On a less-than ogive, the median is read off by drawing a horizontal line at:Read the answer and worked solution →A cumulative frequency table's final entry equals:Read the answer and worked solution →GRE · Quantitativeaptitude · Statistics — Mean/Median/Mode/RangeRead the answer and worked solution →An analyst measures how certain an outcome of a repeated activity is. That measure is called:Read the answer and worked solution →A die is rolled once. The set containing 1, 2, 3, 4, 5 and 6 is called the:Read the answer and worked solution →Probabilities cannot take just any value. Every probability lies between:Read the answer and worked solution →A fair coin is flipped 20,000 times and heads comes up close to half the time. That result illustrates that probability is the long-term:Read the answer and worked solution →Rolling a fair die once, the probability of getting a four is 1/6 because there are six outcomes and:Read the answer and worked solution →An event A has probability 0.5. That means A is equally likely to occur or:Read the answer and worked solution →The event consisting of everything that is not A is written A prime and called the:Read the answer and worked solution →Because those two events cover everything between them, their probabilities must add to:Read the answer and worked solution →
Worked practice questions
A card is drawn from a deck. What is the probability that it is neither a king nor a queen?
- 1/13
- 2/13
- 11/13
- 7/13
Show answer and solution
Correct answer: C. 11/13
4 kings + 4 queens = 8 cards.
Remaining 52 − 8 = 44 cards. P = 44/52 = 11/13.
A bag has 4 red and 6 blue balls. One ball is drawn at random. What is the probability that it is NOT red?
- 3/5
- 2/5
- 4/10
- 1/2
Show answer and solution
Correct answer: A. 3/5
P(red) = 4/10 = 2/5. P(not red) = 1 − 2/5 = 3/5.
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