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GMAT Statistics and Probability — practice questions — page 3

Explore 198 free Statistics and Probability questions in GMAT Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Statistics and Probability questions and exercises with answers

Showing questions 61–90 of 198.

A die is rolled once. The probability of getting an even number isRead the answer and worked solution →If $P(E) = 0.35$, then $P(\text{not } E)$ isRead the answer and worked solution →One card is drawn from a well-shuffled deck of 52 cards. The probability that it is a red card isRead the answer and worked solution →A bag has 3 red and 2 blue balls. The probability of drawing a red ball at random isRead the answer and worked solution →A die is rolled once. The probability of getting a number less than 7 isRead the answer and worked solution →True or false: probabilityRead the answer and worked solution →Key in the probabilityRead the answer and worked solution →An angle is the union of two rays having a common:Read the answer and worked solution →The common endpoint of the two rays of an angle is called the:Read the answer and worked solution →The most familiar unit of angle measurement is the:Read the answer and worked solution →The side of a right triangle opposite the right angle is the:Read the answer and worked solution →Sine is the ratio of the hypotenuse and which side?Read the answer and worked solution →Besides sine, cosine and tangent, how many more functions are there?Read the answer and worked solution →An angle is in standard position if its vertex is located at the:Read the answer and worked solution →In standard position, the initial side extends along which axis?Read the answer and worked solution →An angle whose terminal side lies on an axis is called a:Read the answer and worked solution →Two angles in standard position sharing the same terminal side are:Read the answer and worked solution →How many coterminal angles does any angle have?Read the answer and worked solution →Cosine is the ratio of the hypotenuse and which side?Read the answer and worked solution →One radian is the central angle intercepting an arc equal in length to the:Read the answer and worked solution →A reference angle is the smallest positive acute angle formed with which axis?Read the answer and worked solution →Positive reference angles have terminal sides lying in which quadrant?Read the answer and worked solution →Tangent is the ratio of the opposite side to which side?Read the answer and worked solution →Cosecant, secant and cotangent are described as the reciprocals of the:Read the answer and worked solution →The side opposite one acute angle of a right triangle is, for the other angle, the:Read the answer and worked solution →Probability measures the likelihood of:Read the answer and worked solution →A probability of 1 means the event is:Read the answer and worked solution →Rolling a standard die has how many possible outcomes?Read the answer and worked solution →A repeatable observation with an unpredictable result is a:Read the answer and worked solution →Theoretical probability is favourable outcomes divided by:Read the answer and worked solution →

Worked practice questions

A die is rolled once. The probability of getting an even number is

  1. $\dfrac13$
  2. $\dfrac12$
  3. $\dfrac16$
  4. $\dfrac23$
Show answer and solution

Correct answer: B. $\dfrac12$

1. Even numbers on a die are 2, 4, 6 — that is 3 outcomes. 2. $P(\text{even}) = \dfrac{3}{6}$. 3. $=\dfrac12$. _Source: Karnataka SSLC (KSEEB) Class 10 Mathematics, Ch14 'Probability', §14.1_

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If $P(E) = 0.35$, then $P(\text{not } E)$ is

  1. 0.35
  2. 1.35
  3. 0.65
  4. 0.35 again
Show answer and solution

Correct answer: C. 0.65

1. Use the complement rule: $P(\text{not }E) = 1 - P(E)$. 2. $= 1 - 0.35 = 0.65$. 3. So $P(\text{not }E) = 0.65$. _Source: Karnataka SSLC (KSEEB) Class 10 Mathematics, Ch14 'Probability', §14.1_

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One card is drawn from a well-shuffled deck of 52 cards. The probability that it is a red card is

  1. $\dfrac14$
  2. $\dfrac{1}{13}$
  3. $\dfrac{1}{26}$
  4. $\dfrac12$
Show answer and solution

Correct answer: D. $\dfrac12$

1. A deck has 26 red cards (hearts + diamonds) out of 52. 2. $P(\text{red}) = \dfrac{26}{52}$. 3. $=\dfrac12$. _Source: Karnataka SSLC (KSEEB) Class 10 Mathematics, Ch14 'Probability', §14.1_

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More Mathematics topics

Permutations and CombinationsProbabilityArithmetic ProgressionRelations, Functions & Inverse TrigonometryStraight Lines and Conic SectionsProbability & StatisticsAlgebra: LogarithmsLinear Programming