a bag contains 5 black , 7 red and 3 white balls what is the probability that one ball drawn is red
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Answer:
the answer is 7/15
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Step-by-step explanation:
In the bag we’ve 5 white, 7 red & 3 black.
So there is total 5+3+7=15 balls.
Number of balls which are not red is = 5+3=8
In the first draw, the probability the ball is not red is =8/15
Now after first draw a ball which is not red ie either white or black is picked. So no. of balls in the bag which is not red= 8–1=7 & total balls in bag =15–1=14
Picked ball is not red in second draw is = 7/14=1/2
Similarly picked ball not red in 3rd draw is = 6/13
So probability that none of the balls in first 3 draws are red (assuming without repetition) is = (8/15)*(1/2)*(6/13)=24/195=8/65
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