Section: Math 0 Likes
A bag contains exactly 7 marbles, each with 1 number on it: 4 red (June 2023 - F12)
A bag contains exactly 7 marbles, each with 1 number on it: 4 red marbles numbered 1, 2, 3, and 4; and 3 black marbles numbered 1, 2, and 3. One marble will be selected at random from the bag.
What is the probability that the marble selected will be an odd-numbered red marble?
A) 1/2
B) 2/7
C) 7/12
D) 8/49
E) 16/49
Solution
Correct answer: B) 2/7.
To find the probability of selecting an odd-numbered red marble, we first need to determine the total number of marbles and the number of odd-numbered red marbles.
Total number of marbles = 7
Number of odd-numbered red marbles = 2 (Red marbles numbered 1 and 3)
Now, we can calculate the probability:
Probability = (Number of favorable outcomes) / (Total number of outcomes)
Probability = (Number of odd-numbered red marbles) / (Total number of marbles) = 2 / 7
So, the probability of selecting an odd-numbered red marble is 2/7.
Exam Edition: June 2023 - F12
Exam Year: 2023
Related topics: Probability, Set theory