There are 27 roses in a flower vase. Each rose is distinctly red or white in colour. A rose is picked at random from the vase. It is observed thatthe probability of picking a white rose is 5/9.How many red roses does the flower vase contain?
Answers
Answer:
12
Step-by-step explanation:
P(white roses) = 5/9
P(red roses) = 1-5/9 =4/9 = red roses/ total roroses
4/9 = x / 27
x = 12
Hence 12 is the ans
Given,
Total roses = 27
The probability of picking a white rose = 5/9
To Find,
The number of red roses =?
Solution,
The probability of picking a white rose = 5/9
The probability of picking a red rose = 1 - The probability of picking a white rose
The probability of picking a red rose = 1 - 5 / 9
The probability of picking a red rose = (9 - 5)/9
The probability of picking a red rose = 4 / 9
From the formula of probability, we know that,
The probability of picking a red rose = Number of red roses / Total roses
4 / 9 = The number of red roses / 27
By multiplying 27 on both sides, we get,
The number of red roses = 27*(4/9)
The number of red roses = 3 * 4
The number of red roses = 12
Hence, the number of red roses in the flower vase is 12.