A box contains 4 white and 6 black balls. If one ball is drawn and it is black,
Practice Questions
Q1
A box contains 4 white and 6 black balls. If one ball is drawn and it is black, what is the probability that the next ball drawn is also black?
1/2
1/3
1/5
2/5
Questions & Step-by-Step Solutions
A box contains 4 white and 6 black balls. If one ball is drawn and it is black, what is the probability that the next ball drawn is also black?
Step 1: Start with the total number of balls in the box. There are 4 white balls and 6 black balls, making a total of 10 balls.
Step 2: When one black ball is drawn, we remove it from the box. Now, we have 5 black balls left.
Step 3: The number of white balls remains the same, which is still 4.
Step 4: Now, calculate the new total number of balls left in the box. It is 5 black + 4 white = 9 balls.
Step 5: To find the probability of drawing another black ball, we take the number of black balls left (5) and divide it by the total number of balls left (9).
Step 6: The probability of drawing another black ball is 5/9.
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.
