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Question

Mathematics Question on Permutations and Combinations

A bag contains 2 red, 3 green and 2 blue balls. 2 balls are to be drawn randomly. What is the probability that the balls drawn contain no blue ball?

A

57\frac{5}{7}

B

1021\frac{10}{21}

C

27\frac{2}{7}

D

1121\frac{11}{21}

Answer

57\frac{5}{7}

Explanation

Solution

The correct option is (A): 57\frac{5}{7}
Explanation: Explanation: There are 2 red, 3 green, and 2 blue balls in total. The probability of drawing a blue ball is 27\frac{2}{7}. Therefore, the probability that the drawn balls contain no blue balls is(127=57) ( 1 - \frac{2}{7} = \frac{5}{7} )