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.

Question

Mathematics

Kamila Preston

2 May, 23:43

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.

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Atticus Nicholson · 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