Answer:
look down there
Step-by-step explanation:
First ball:
Probability of drawing a white ball is 5/8
Probability of drawing a black ball is 3/8
Second ball:
This depends on the first ball drawn, lets say you drew a white ball initially, 4 white balls are left out of 7 balls in total. The probability of a white ball in the second pick is 4/7.
Total probability of drawing two white balls is 5/8*4/7 (since they are independent events).
If you picked a black ball initially, picking another black ball would have a probability of 2/7, on similar grounds , total prob for 2 blacks would be 3/8*2/7.
The probability that you pick 2 balls of same color is (5/14 + 3/28) = 13/28. (Since they are mutually exclusive events)
The probability of picking a black ball and then another black ball is; Due to conditional probability and is equal to 1/15
Conditonal probability means that the probability of one event is affected or depends on the probability of another event.
Now, total balls in the bag is;
Total balls = 5 + 3 + 2
Total balls = 10 balls
Probability of first picking a black ball is;
P(black ball first) = 3/10
Now, when a black ball is picked, there will ba 9 balls left in the bag of whih only 2 are black. Thus, the probability of picking another black ball is;
P(black ball second) = 2/9
Thus;the probability of picking a black ball and then another black ball is;
P(black ball | black ball) = 3/10 * 2/9
P(black ball | black ball) = 1/15
Read more about Conditional Probability at; https://brainly.com/question/10739997
