12345 - Math Quiz -Statistics and Probability Covering: mean, median, mode, range, standard deviation, data interpretation through graphs and charts, and basic probability, including compound events and independent events. 1 / 5 1. Three fair six-sided dice are rolled at the same time. What is the probability that the sum of the numbers on the dice is 10? a) 1/9 b) 1/8 c) 1/12 d) 1/3 There are 6x6x6 = 216 possible outcomes when rolling three dice. To find the number of outcomes that result in a sum of 10, we need to compute the triples (a,b,c) where a+b+c=10 and each of a, b, c can take values from 1 to 6. There are 27 such triples. The probability of getting a sum of 10 is 27/216 = 1/8. 2 / 5 2. What is the probability of getting at least one head when flipping two fair coins? a) 3/4 b) 1/2 c) 1/4 d) 2/3 There are 2⁴ possible outcomes: HH, HT, TH, and TT. Only the TT outcome doesn't meet the criteria of having at least one head. The probability of at least one head is, therefore, 3/4. 3 / 5 3. In a box of chocolates, there are 3 peanut butter chocolates, 5 caramel chocolates, and 2 mint chocolates. If one chocolate is chosen at random, what is the probability that it is a mint chocolate? a) 1/5 b) 1/5 c) 1/3 d) 2/5 The total number of chocolates is 3 + 5 + 2 = 10. There are 2 mint chocolates, so the probability of choosing a mint chocolate is the number of successful outcomes (choosing a mint chocolate) divided by the total number of possible outcomes (choosing any chocolate). So, the probability is 2/10, which can be simplified to 1/5. 4 / 5 4. A bar chart shows the number of books read by a group of students in a month: Fiction 8, Non-Fiction 4, Mystery 6, Biography 2. What is the mode of the data? a) 2 b) 4 c) 6 d) 8 The mode is the value that occurs most frequently in a data set. In this case, the mode is the genre with the highest number of books read. From the bar chart, we can see that Fiction has the highest number of books, with 8 books read. Therefore, the mode is 8. 5 / 5 5. The scores of five students on a mathematics test are: 80, 84, 91, 75, and 92. What is the median score? a) 80 b) 84 c) 85 d) 91 To find the median, we first arrange the scores in ascending order: 75, 80, 84, 91, 92. The median is the middle value in the ordered list, which is 84 in this case. Your score is 0% Restart Quiz
