The following are students' scores in a Mathematics test. What is the probability that a student scored:

First, let's list all the scores and find the total number of scores. The scores are: 9, 8, 6, 10, 7, 10, 5, 6, 3, 3, 4, 2, 4, 2, 4, 4. Total number of scores = 16. a) Probability that a student scored 3 marks? Step 1: Count the number of times '3' appears in the scores. The scores '3' appear 2 times. Step 2: Calculate the probability. P(score of 3) = Number of scores of 3Total number of scores = (2)/(16) = (1)/(8) The probability of scoring 3 marks is (1)/(8). b) Probability that a student scored 4 marks? Step 1: Count the number of times '4' appears in the scores. The scores '4' appear 4 times. Step 2: Calculate the probability. P(score of 4) = Number of scores of 4Total number of scores = (4)/(16) = (1)/(4) The probability of scoring 4 marks is (1)/(4). c) Probability that a student scored an odd mark? Step 1: Identify and count the odd marks. The odd marks are 9, 7, 5, 3, 3. There are 5 odd marks. Step 2: Calculate the probability. P(odd mark) = Number of odd marksTotal number of scores = (5)/(16) The probability of scoring an odd mark is (5)/(16). d) Probability that a student scored an even mark? Step 1: Identify and count the even marks. The even marks are 8, 6, 10, 10, 6, 4, 2, 4, 2, 4, 4. There are 11 even marks. Step 2: Calculate the probability. P(even mark) = Number of even marksTotal number of scores = (11)/(16) The probability of scoring an even mark is (11)/(16). e) Probability that a student scored a mark less than 5? Step 1: Identify and count the marks less than 5. Marks less than 5 are 2, 3, 4. From the list: 3, 3, 4, 2, 4, 2, 4, 4. There are 8 marks less than 5. Step 2: Calculate the probability. P(mark less than 5) = Number of marks less than 5Total number of scores = (8)/(16) = (1)/(2) The probability of scoring a mark less than 5 is (1)/(2). Send me the next one 📸