1. **Stating the problem:** We have a bag with counters of four colors: pink, yellow, green, and blue. The probabilities of drawing each color are given as pink 0.5, yellow 0.2, green 0.1, and blue 0.2. There are 40 counters in total. 2. **Part (a): Work out the probability that the counter taken is yellow.** - The problem already gives the probability of yellow as 0.2. - So, the probability that the counter taken is yellow is simply $0.2$. 3. **Part (b): Work out the number of blue counters in the bag.** - The probability of drawing a blue counter is $0.2$. - Probability is calculated as $\text{Probability} = \frac{\text{Number of blue counters}}{\text{Total counters}}$. - Let the number of blue counters be $x$. - Then, $0.2 = \frac{x}{40}$. - Multiply both sides by 40: $x = 0.2 \times 40$. - Calculate: $x = 8$. **Final answers:** - (a) Probability of yellow counter = $0.2$. - (b) Number of blue counters = $8$.