Pranav is very fond of collecting balls of different colours he has a total of 25 balls out of which five balls are orange in colour and eight are white out of the remaining balls some are blue in colour and rest are yellow
1) if the probability of drawing a yellow ball is twice the probability of drawing a blue ball the number of yellow balls is
2)the probability of drawing a ball other than blue
3) probability of drawing either a blue or white ball is
4) probability of drawing neither a yellow nor white ball is
5)probability of not drawing an orange ball is
Answers
Answer:
Step-by-step explanation:
Step 1- Let the blue ball be x.
and yellow ball =12-x .
according to question,
12-x/25 =2x /25 ( by solving it )
x=4 . ( no.ofblue ball)
yellow ball = 12 - x =12- 4 =8.
This is the first part of question.
The answers are : 1) 6 2) 19/25 3) 14/25
4) 11/25 5) 4/5
Total balls: 25
Orange coloured balls: 5
White coloured balls: 8
Let blue coloured balls are: x
Then, yellow-coloured balls are: 25 – 13 – x = 12 -x
1) Probability of drawing a yellow ball = 2* Probability of drawing a blue ball
Probability = number of favourable events / total number of events.
Probability of drawing a yellow ball = 12 – x / 25
Probability of drawing a blue ball = x/25
According to question:
12-x /25 = x/25
12 – x = x
2x = 12
x=6
Number of blue balls = 6
Number of yellow balls = 12 – 6 = 6
2) Number of balls other than blue = 5 + 8 + 6 = 19
The probability of drawing a ball other than blue = 19/25
3) probability of drawing either a blue or white ball is
= probability of drawing blue ball + probability of drawing white ball
= 6/25 + 8/25
=14/25
4) Balls coloured other than yellow and white are: blue (6), orange (5)
probability of drawing neither a yellow nor white ball is
= probability of drawing blue ball + probability of drawing orange ball
= 6/25 + 5/25
= 11/25
5) probability of not drawing an orange ball is
= 1- probability of drawing an orange ball
= 1-5/25
= 20/25
= 4/5
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