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
Here are the solutions to the problems: Question 11: Step 1: Determine the total number of possible outcomes. Bola chose a number between 1 and 300, inclusive. Total number of outcomes = 300. Step 2: Determine the number of favorable outcomes (numbers divisible by 4). To find how many numbers between 1 and 300 are divisible by 4, divide 300 by 4. Number of favorable outcomes = (300)/(4) = 75. Step 3: Calculate the probability. P(divisible by 4) = Number of favorable outcomesTotal number of outcomes P(divisible by 4) = (75)/(300) Step 4: Simplify the probability. P(divisible by 4) = (1)/(4) The correct option is B. B. (1)/(4) Question 12: Step 1: Identify the probabilities of each event. Let P(K) be the probability Mr. Kunle passes = (1)/(3). Let P(B) be the probability Mr. Boye passes = (2)/(3). Step 2: Calculate the probability that neither passes. The probability Mr. Kunle fails is P(K') = 1 - P(K) = 1 - (1)/(3) = (2)/(3). The probability Mr. Boye fails is P(B') = 1 - P(B) = 1 - (2)/(3) = (1)/(3). Assuming the events are independent, the probability that neither passes is P(K' and B') = P(K') × P(B'). P(neither passes) = (2)/(3) × (1)/(3) = (2)/(9) Step 3: Calculate the probability that at least one of them passes. The probability that at least one passes is the complement of neither passing. P(at least one passes) = 1 - P(neither passes) P(at least one passes) = 1 - (2)/(9) P(at least one passes) = (9)/(9) - (2)/(9) P(at least one passes) = (7)/(9) The correct option is A (or C). A. (7)/(9) 3 done, 2 left today. You're making progress.