Find the chance of drawing 2 blue balls in succession from a bag containing 5 red and 7 blue balls, if the balls are not being replaced.
Answers
Given:
Number of blue balls = 5
Number of red balls = 7
To find:
The probability of drawing 2 blue balls in succession
Calculation:
Total no of balls in bag = 5+7 = 12
Probability of drawing a blue ball from the bag containing 7 blue balls and 5 red balls is
Probability = No of blue balls / Total no of balls
= 7/12
As the ball is not replaced, the no of blue balls in the bag will be 6. The probability of drawing blue ball will be
Probability = No of blue balls / Total no of balls
= 6 / 11
Probability of getting two blue balls in succession = (7/12)×(6/11)
= 7/22
The probability of drawing 2 blue balls in succession is 7/22
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