1. **Problem statement:** A company produces baseballs, softballs, tennis balls, and handballs in the ratios 40%, 30%, 10%, and the remainder respectively. We want to find the probability that a randomly selected ball from a box containing these balls in the same ratios is (a) a baseball, (b) a tennis ball, (c) not a softball, and (d) a handball. 2. **Formula and rules:** Probability of an event is given by the ratio of favorable outcomes to total outcomes. Since the balls are in the given ratios, these ratios represent probabilities directly. 3. **Calculations:** (a) Probability(ball is baseball) = 40% = 0.40 (b) Probability(ball is tennis ball) = 10% = 0.10 (c) Probability(ball is not softball) = 1 - Probability(ball is softball) = 1 - 0.30 = 0.70 (d) Probability(ball is handball) = Remaining percentage = 100% - (40% + 30% + 10%) = 100% - 80% = 20% = 0.20 4. **Explanation:** - The probabilities correspond to the given production ratios. - For (c), since the probability of softball is 30%, the complement (not softball) is 70%. - For (d), the handballs make up the remainder after accounting for baseballs, softballs, and tennis balls. **Final answers:** (a) 0.40 (b) 0.10 (c) 0.70 (d) 0.20