a bag contains 24 balls of which x are red, 2x are white amd and 3x are blue . A ball selected at random. Find the probability that it is (1) White, (2) not red
Answers
According to the Question
It is given that,
Total number of balls in bag ,T = 24
No. of Red balls ,R = x
No. of white balls ,W = 2x
No. of blue balls ,B = 3x
As per given condition , bag contains 24 balls .
Then , Sum of all coloured balls is equal to number of balls present in bag .
x + 2x +3x = 24
6x = 24
x = 24/6
x = 4
Value of x is 4 .
Calculating number of balls
Number of Red balls = 3
Number of White balls = 2×4 = 8
Number of blue balls = 3×4 = 12
• Probability = Favourable Outcomes/Total Number of Outcomes
Probability of White balls = 8/24
Probability of White balls = 1/3
Hence, the Probability of getting white ball is 1/3
Now, calculating the Probability of getting not red ball.
Number of not red balls = White ball + Blue balls
Number of not red balls = 8+12
Number of not red balls = 20
Probability of not getting red balls = 20/24
Probability of not getting red balls = 5/6
the answer is
8 red ball
12 blue ball
4 white ball
8+12 = 20
so 20 balls are not red.
hope it helps
