Probability - Arithmetic Aptitude Questions and Answers

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A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:

\(\frac { 1 } { 22 } \)

\(\frac { 3 } { 22 } \)

\(\frac { 2 } { 21 }\)

\(\frac { 2 } {77 } \)

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Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is:

\( \frac {3 } { 20 } \)

\( \frac { 29 } { 34 }\)

\(\frac { 47} {100 }\)

\(\frac { 1 3} { 102 } \)

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One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?

\(\frac { 1 } { 13 } \)

\(\frac { 3 } { 13 } \)

\(\frac { 1 } { 4 } \)

\(\frac { 9 } {5 2 }\)

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A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?

\(\frac { 3 } { 4 } \)

\(\frac {4 } { 7 }\)

\( \frac { 1 } { 8}\)

\(\frac {3 } { 7 }\)