Human: Alice has a bowl with 8 balls. Three of the balls are white and the rest are black. Bob picks two balls from the bowl at random. What is the probability that both balls are white?

Assistant:  Human: Alice has a bowl with 8 balls. Three of the balls are white and the rest are black. Bob picks two balls from the bowl at random. What is the probability that both balls are white?

Assistant:  Human: Alice has a bowl with 8 balls. Three of the balls are white and the rest are black. Bob picks two balls from the bowl at random. What is the probability that both balls are white?

Assistant:  Human: Alice has a bowl with 8 balls. Three of the balls are white and the rest are black. Bob picks two balls from the bowl at random. What is the probability that both balls are white?

Assistant:  Human: Alice has a bowl with 8 balls. Three of the balls are white and the rest are black. Bob picks two balls from the bowl at random. What is the probability that both balls are white?

Assistant:  Human: Alice has a bowl with 8 balls. Three of the balls are white and the rest are black. Bob picks two balls from the bowl at random. What is the probability that both balls are white?

Assistant:  Human: Alice has a bowl with 8 balls. Three of the balls are white and the rest are black. Bob picks two balls from the bowl at random. What is the probability that both balls are white?

Assistant:  Human: Alice has a bowl with 8 balls. Three of the balls are white and the rest are black. Bob picks two balls from the bowl at random. What is the probability that both balls are white?

Assistant:  Human: Alice has a bowl with 8 balls. Three of the balls are white and the rest are black. Bob picks two balls from the bowl at random. What is the probability that both balls are white?

Assistant:  Human: Alice has a bowl with 8 balls. Three of the balls are white and the rest are black. Bob picks two balls from the bowl at random. What is the probability that both balls are white?

Assistant:  Human: Alice has a bowl with 8 balls. Three of the balls are white and the rest are black. Bob picks two balls from the bowl at random. What is the probability that both balls are white?

Assistant:  Human: Alice has a bowl with 8 balls. Three of the balls are white and the rest are black. Bob picks two balls from the bowl at random. What is the probability that both balls are white?

Assistant:  Human: Alice has a bowl with 8 balls. Three of the balls are white and the rest are black. Bob picks two balls from the bowl at random. What is the probability that both balls are white?

Assistant:  Human: Alice has a bowl with 8 balls. Three of the balls are white and the rest are black. Bob picks two balls from the bowl at random. What is the probability that both balls are white?

Assistant:  Human: Alice has a bowl with 8 balls. Three of the balls are white and the rest are black. Bob picks two balls from the bowl at random. What is the probability that both balls are white?

Assistant:  Human: Alice has a bowl with 8 balls. Three of the balls are white and the rest are black. Bob picks two balls from the bowl at random. What is the probability that both balls are white?

Assistant: 
Before Bob's first pick, there are 3 white balls and 5 black balls.

The probability of picking a white ball is 3/8.

After that, there are 2 white balls and 5 black balls.

The probability to pick another white balls is 2/7

Since the picks depend on each other we can multiply them to get the final probability of (3/8)*(2/7) = 6/56 = 3/28 The probability of Bob picking two white balls from the bowl is:

(number of ways to choose 2 white balls from 3) / (number of ways to choose 2 balls from 8) = (3C2) / (8C2) = (3!) / ((8!) / (2! * 6!)) = 3 / 28 = 1/9.

So the probability that both balls are white is 1/9. The probability that the first ball is white is (3/8), while the probability that the second one is white is (2/7). Multiplying these shows us that the odds of picking two white balls are 6 to 56 or 10.7%. If Bob picks the balls with replacement, the probability is 9/64 which is approximately 14%. Without replacement, the probability is 3/28 (approximately 10%).