A box contains 5 red, 3 green, and 2 blue marbles. If a marble is drawn and it is known to be red, what is the probability that it is the first marble drawn?
Practice Questions
1 question
Q1
A box contains 5 red, 3 green, and 2 blue marbles. If a marble is drawn and it is known to be red, what is the probability that it is the first marble drawn?
1/5
1/3
1/2
1/10
The probability of drawing a red marble is independent of the order. Therefore, P(First | Red) = 1/5.
Questions & Step-by-step Solutions
1 item
Q
Q: A box contains 5 red, 3 green, and 2 blue marbles. If a marble is drawn and it is known to be red, what is the probability that it is the first marble drawn?
Solution: The probability of drawing a red marble is independent of the order. Therefore, P(First | Red) = 1/5.
Steps: 7
Step 1: Understand that there are 5 red marbles in the box.
Step 2: Recognize that the total number of marbles is 5 red + 3 green + 2 blue = 10 marbles.
Step 3: When we know a marble drawn is red, we are only considering the red marbles.
Step 4: The question asks for the probability that the red marble drawn is the first one drawn.
Step 5: Realize that the order of drawing does not affect the probability of it being red.
Step 6: Since there are 5 red marbles, the probability of drawing any one of them first is 1 out of 5.
Step 7: Therefore, the probability that the red marble drawn is the first one is 1/5.
