Question 50
ProbabilityThe result of rolling a fair die 150 times is summarized in the table below.
Number: 1, 2, 3, 4, 5, 6
Frequency: 12, 18, x, 30, 2x, 45
What is the probability of obtaining a 5?
- A.3/10
- B.1/5
- C.1/6
- D.1/10
Show the answer and explanation
Answer: B (1/5)
Explanation
12 + 18 + x + 30 + 2x + 45 = 150 gives 3x = 45 and x = 15. A 5 came up 2x = 30 times, so P = 30/150 = 1/5.