A box contains 4 red, 3 green, and 2 blue balls. If a ball is drawn and it is gr

A box contains 4 red, 3 green, and 2 blue balls. If a ball is drawn and it is green, what is the probability that the next ball drawn is red?

A box contains 4 red, 3 green, and 2 blue balls. If a ball is drawn and it is green, what is the probability that the next ball drawn is red?

Correct Answer: 1/2

Step 1: Count the total number of balls in the box. There are 4 red, 3 green, and 2 blue balls. So, total = 4 + 3 + 2 = 9 balls.
Step 2: If a green ball is drawn, we remove it from the box. Now, we have 4 red, 2 green, and 2 blue balls left.
Step 3: Count the remaining balls. After drawing a green ball, the total remaining balls = 4 red + 2 green + 2 blue = 8 balls.
Step 4: Determine how many red balls are left. There are still 4 red balls.
Step 5: Calculate the probability of drawing a red ball next. Probability = (Number of red balls) / (Total remaining balls) = 4 / 8.
Step 6: Simplify the fraction 4/8 to get 1/2.

Conditional Probability – The probability of an event occurring given that another event has already occurred.
Counting Outcomes – Understanding how to count the remaining outcomes after an event has taken place.