This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
The total number of bottles in the crate is 24. • Number of orange bottles = 10 • Number of apple bottles = 8 • Number of lemon bottles = 6 The probability of an event is calculated as: P(event) = Number of favorable outcomesTotal number of possible outcomes a) Probability of getting an apple: Step 1: Identify the number of apple bottles and the total number of bottles. Number of apple bottles = 8 Total bottles = 24 Step 2: Calculate the probability. P(Apple) = (8)/(24) Step 3: Simplify the fraction. P(Apple) = (8 ÷ 8)/(24 ÷ 8) = (1)/(3) The probability of getting an apple is (1)/(3). b) Probability of getting an orange: Step 1: Identify the number of orange bottles and the total number of bottles. Number of orange bottles = 10 Total bottles = 24 Step 2: Calculate the probability. P(Orange) = (10)/(24) Step 3: Simplify the fraction. P(Orange) = (10 ÷ 2)/(24 ÷ 2) = (5)/(12) The probability of getting an orange is (5)/(12). c) Probability of getting a lemon: Step 1: Identify the number of lemon bottles and the total number of bottles. Number of lemon bottles = 6 Total bottles = 24 Step 2: Calculate the probability. P(Lemon) = (6)/(24) Step 3: Simplify the fraction. P(Lemon) = (6 ÷ 6)/(24 ÷ 6) = (1)/(4) The probability of getting a lemon is (1)/(4). Send me the next one 📸