Question

A bag contains 25 balls. Some of them are yellow and others are green. One ball is drawn at random. If probability of getting a green ball is \(3/5\), then find the number of yellow balls.

Hint:

You can also find the probability of getting a yellow ball first: \(P(\text{Yellow}) = 1 - P(\text{Green}) = 1 - 3/5 = 2/5\). Then, number of yellow balls = \(2/5 \times 25 = 10\).

Answer 1

Step 1: Understanding the Given Information:
Total number of balls = 25
Probability of getting a green ball = 3/5

We know,
Probability = (Number of favourable outcomes) / (Total outcomes)

Step 2: Let Number of Green Balls be G:
According to the formula:
G / 25 = 3 / 5

Cross multiply:
5G = 25 × 3
5G = 75
G = 75 / 5
G = 15

Step 3: Finding Number of Yellow Balls:
Total balls = 25
Green balls = 15

Yellow balls = 25 − 15
= 10

Final Answer:
The number of yellow balls is 10.