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Probability

Question
CBSEENMA12033681

An urn contains 25 balls numbered 1 to 25. Two balls are drawn from the urn with replacement. Find the probability of getting both odd numbers.

Solution

Total number of balls = 25
∴ total number of cases = 25
Let E denote the event of drawing even numbered ball and O denote the event of drawing odd numbered ball.
Number of balls numbered odd = 13
Number of balls numbered even = 12
therefore space space space space space space space space space straight P left parenthesis straight E right parenthesis space equals space 12 over 25 comma space space straight P left parenthesis straight O right parenthesis space equals space 13 over 25
Since the balls are replaced back before the next draw
therefore space space space space straight P left parenthesis OO right parenthesis space equals space straight P left parenthesis straight O right parenthesis thin space straight P left parenthesis straight O right parenthesis space equals space 13 over 25 cross times 13 over 25 space equals 169 over 625

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