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
Probability of not getting red balls = 20/24
Probability of not getting red balls = 5/6
Step-by-step explanation:
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