alleryTwo fair dice numbered 1 to 6 are rolled. Find P(the scores differ by 5).
- 1/36
- 1/18
- 1/6
- 1/12
Show answer and solution
Correct answer: B. 1/18
Only the ordered outcomes 1 with 6 and 6 with 1 differ by five.
GMAT Statistics and Probability — practice questions — page 7
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Two fair dice numbered 1 to 6 are rolled. Find P(the scores differ by 5).Read the answer and worked solution →Roll two fair dice numbered 1 to 6. What is P(unequal scores)?Read the answer and worked solution →A ticket bears a uniformly chosen integer from 10 to 99. Find P(a square number).Read the answer and worked solution →Tickets 1 to 40 are equally likely. Find P(a multiple of 6).Read the answer and worked solution →A spinner's landing angle is uniform over 360 degrees. Find P(a marked 90-degree sector).Read the answer and worked solution →Remove all 4 green balls from 5 red, 4 green and 3 blue. Draw uniformly. Find P(blue).Read the answer and worked solution →Remove both black queens from a standard 52-card pack. Draw uniformly. Find P(a J, Q or K).Read the answer and worked solution →Pick uniformly from -3, -2, -1, 0, 1, 2, 3. What is P(the square is less than 4)?Read the answer and worked solution →Choose an integer uniformly from -5 to 5 inclusive. Find P(its reciprocal exists).Read the answer and worked solution →Pick a letter position uniformly in MISSISSIPPI. What is P(a consonant)?Read the answer and worked solution →Exactly three outcomes have probabilities 1/2, 1/3 and p. Find p.Read the answer and worked solution →A fair die's six faces read 1, 1, 2, 3, 5, 8. What is P(a prime score)?Read the answer and worked solution →A random two-digit positive integer has matching digits with what probability?Read the answer and worked solution →Red-blue bag, uniform draw: P(blue)=1/3; adding 4 blue makes it 1/2. Original total?Read the answer and worked solution →Uniform red-blue bag draws: P(blue)=2/7; after 3 red are removed, 1/2. Original total?Read the answer and worked solution →Uniform draw from 4 red and n blue balls, n a positive integer: P(red)>2/3. Largest n?Read the answer and worked solution →A fair die's face 6 is relabelled 1; other labels stay. What is P(an odd score)?Read the answer and worked solution →Of 20 tokens, 5 losers are removed; 3 winners remain. Draw uniformly from the rest. Find P(win).Read the answer and worked solution →
Worked practice questions
Roll two fair dice numbered 1 to 6. What is P(unequal scores)?
- 5/6
- 1/6
- 1/2
- 1/3
Show answer and solution
Correct answer: A. 5/6
Removing the six equal-score pairs from 36 leaves 30 unequal-score outcomes.
A ticket bears a uniformly chosen integer from 10 to 99. Find P(a square number).
- 1/10
- 1/15
- 1/9
- 1/18
Show answer and solution
Correct answer: B. 1/15
The six squares from 16 through 81 are six of the 90 two-digit positive integers.
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