alleryThe probability of getting an even number on a single throw of a die is:
- $\tfrac23$
- $\tfrac12$
- $\tfrac16$
- $\tfrac13$
Show answer and solution
Correct answer: B. $\tfrac12$
Even numbers on a die are {2,4,6}: 3 of 6 outcomes ⟹ 3/6 = 1/2.
GMAT Application of Integrals — practice questions
Explore 30 free Application of Integrals questions in GMAT Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
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Showing questions 1–30 of 30.
The probability of getting an even number on a single throw of a die is:Read the answer and worked solution →The probability of drawing a king from a standard pack of 52 cards is:Read the answer and worked solution →When two dice are thrown, the probability that the sum of the numbers is 7 is:Read the answer and worked solution →The probability of getting at least one head when a coin is tossed twice is:Read the answer and worked solution →If $P(A)=0.3$, $P(B)=0.4$ and A, B are mutually exclusive, then $P(A\cup B)$ is:Read the answer and worked solution →The probability of getting a number greater than 4 on a single throw of a die is:Read the answer and worked solution →The value of $\sin\dfrac{\pi}{6}$ is:Read the answer and worked solution →The expansion of $\sin(A+B)$ is:Read the answer and worked solution →The maximum value of $3\sin\theta$ is:Read the answer and worked solution →The value of $\cos 180^\circ$ is:Read the answer and worked solution →The angle 90° in radians is:Read the answer and worked solution →The exact value of cos 60° is:Read the answer and worked solution →The double angle formula sin 2A equals:Read the answer and worked solution →If tan α = √5 - 2, then the value of tan α - cot α is:Read the answer and worked solution →Given 10 sin⁴α + 15 cos⁴α = 6, find the value of 27 cosec⁶α + 8 sec⁶α.Read the answer and worked solution →If tan α = √3 + 2, then the value of tan α − cot α is:Read the answer and worked solution →1 radian is approximately equal to:Read the answer and worked solution →The value of sin 30° is:Read the answer and worked solution →cos²θ + sin²θ is equal to:Read the answer and worked solution →tan(π/4) is equal to:Read the answer and worked solution →sin(A + B) is equal to:Read the answer and worked solution →cos(2θ) can be written as:Read the answer and worked solution →The principal value of the range of f(x) = sin x is:Read the answer and worked solution →The angle in radians for 120° is:Read the answer and worked solution →If sin θ = 3/5 and θ is acute, then cos θ equals:Read the answer and worked solution →The general solution of sin x = 0 is:Read the answer and worked solution →The general solution of cos x = 0 is:Read the answer and worked solution →By the law of sines in a triangle, a / sin A is equal to:Read the answer and worked solution →sin 75° equals:Read the answer and worked solution →tan(45° + θ) · tan(45° − θ) is equal to:Read the answer and worked solution →
Worked practice questions
The probability of drawing a king from a standard pack of 52 cards is:
- $\tfrac{1}{13}$
- $\tfrac{1}{4}$
- $\tfrac{1}{52}$
- $\tfrac{4}{13}$
Show answer and solution
Correct answer: A. $\tfrac{1}{13}$
There are 4 kings in 52 cards: 4/52 = 1/13.
When two dice are thrown, the probability that the sum of the numbers is 7 is:
- $\tfrac{1}{12}$
- $\tfrac16$
- $\tfrac{1}{9}$
- $\tfrac{7}{36}$
Show answer and solution
Correct answer: B. $\tfrac16$
Sums of 7 occur in 6 of 36 equally-likely pairs ⟹ 6/36 = 1/6.
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