What is the probability that the chosen child is a left-handed boy? What is the probability that the chosen child is a right-handed boy?

Answer

To find the probabilities, we first need to understand the distribution of the children based on the provided information. From the image: - **Total children** = 20 - **Left-handed children**: 6 boys + 4 girls = 10 left-handed - **Right-handed children**: 4 boys + 6 girls = 10 right-handed Now, we find the probabilities: **Part (a): Probability that the chosen child is a left-handed boy:** To find this, we divide the number of left-handed boys by the total number of children. - Left-handed boys = 6 - Total children = 20 Probability = (Number of left-handed boys) / (Total children) = 6 / 20 = 3 / 10. So, the answer for part (a) is **3/10**. **Part (b): Probability that the chosen child is a right-handed boy:** Next, we do the same for right-handed boys. - Right-handed boys = 4 - Total children = 20 Probability = (Number of right-handed boys) / (Total children) = 4 / 20 = 1 / 5. So, the answer for part (b) is **1/5**.