Math Quiz -Statistics and Probability Report a question What's wrong with this question? You cannot submit an empty report. Please add some details. 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. A bag contains 6 red marbles, 4 blue marbles, and 10 green marbles. If a marble is drawn from the bag without looking and then replaced, what is the probability of drawing a red marble twice in a row? a) 1-Apr b) 9/100 c) 18/400 d) 1-Aug The probability of drawing a red marble on the first draw is 6/20. Since the marble is replaced, the probability remains the same for the second draw. The probability of drawing a red marble twice in a row is (6/20) x (6/20) = 36/400 = 9/100. 2 / 5 2. A box contains 5 red balls, 3 blue balls, and 2 yellow balls. If a ball is chosen randomly and then replaced before a second ball is chosen, what is the probability of choosing a red ball followed by a yellow ball? a) Jan-15 b) 1-Oct c) 1-Jun d) 2-Sep Since the first ball is replaced, there are still 10 balls to choose from for the second draw. The probability of choosing a red ball on the first draw is 5/10, and the probability of choosing a yellow ball on the second draw is 2/10. The probability of both events happening is (5/10) x (2/10) = 1/10. 3 / 5 3. A pair of unbiased dice are thrown. What is the probability of getting a total of 8 from the two dice? a) 1-Sep b) 2-Sep c) May-36 d) 1-Jun There are 6 x 6 = 36 possible outcomes when throwing a pair of dice. There are 5 outcomes that result in a sum of 8: (2, 6), (3, 5), (4, 4), (5, 3), (6, 2). So, the probability is 5/36. 4 / 5 4. Eight friends each scored a different number of points in a game. Their scores were 15, 18, 20, 22, 25, 28, 30, and 34. What is the mean score? a) 22 b) 24 c) 26 d) 28 To find the mean, we add the scores and divide by the number of friends. (15+18+20+22+25+28+30+34)/8 = 192/8 = 24. 5 / 5 5. In a class of 30 students, the average score on a math test is 80. If the highest score in the class is 100 and the lowest score is 50, what is the range of the scores? a) 50 b) 80 c) 100 d) 60 The range is the difference between the highest and lowest values in the data set. In this case, it is 100 - 50 = 50. Your score is 0% Restart Quiz