An experiment consists of drawing one ball from a box containing 5 white balls numbered 1 through 5 and black balls numbered 6 through 10. Find the probability that a randomly selected ball is black and numbered 7.
1/10 # 7
5/10 black balls
1/10 + 5/10 = 3/5
Is my answer correct? Thanks!
you want your ball to be #7 AND black
There is only one such ball
prob (black and #7 ) = 1/10
To find the probability that a randomly selected ball is black and numbered 7, we need to determine how many possible outcomes there are and how many of those outcomes satisfy the given condition.
Step 1: Determine the number of possible outcomes
The experiment involves drawing one ball from a box containing a total of 5 white balls numbered 1 through 5 and 5 black balls numbered 6 through 10. So, there are a total of 10 balls in the box.
Step 2: Determine the number of outcomes that satisfy the given condition
We want to find the probability that the drawn ball is black and numbered 7. Since there is only one black ball numbered 7 in the box, there is only one outcome that satisfies the given condition.
Step 3: Calculate the probability
The probability is defined as the number of outcomes that satisfy the condition divided by the number of possible outcomes.
Number of outcomes that satisfy the condition: 1
Number of possible outcomes: 10
So, the probability that a randomly selected ball is black and numbered 7 is 1/10.