Question

Compound Probability: You choose a tile at random from a bag containing 2 tiles with X, 6 tiles with Y, and 4 tiles with Z. You pick a second tile without replacing the first. Find each probability.18. P(X then Y) 19. (both Y) 20. P(Y then X) 21. (P(Z then X)22. P(both Z) 23. P(Y then Z)You don't have to answer all of them, I just want someone to solve like two and explain how they did it so I can do the rest on my own.

Answer 1

18. P(x then y) = 1/11
19. P(both y) = 5/22

To find the probability of these compound events, we have to multiply the probability of each individual event. Remember, on the second trial, there are only 11 options.

18.  2/12 x 6/11 = 1/11

19.  6/12 x 5/11 = 5/22