Find the probability that you select someone from the Detroit Tigers, given that

Question

Find the probability that you select someone from the Detroit Tigers, given that you know that you are looking at an American League player.

wOBA Mike Trout American Angels 157 705 36 0.287 0.377 OS61 0.402 Alex Gordon 0.432 American Athletics 158 65 29 0.255 03 0.456 0.351 Josh Donaldson Anthony Rendon 0.473 hael Brantley American Dose Bautista American Blue Jays 155 673 3s 0286 0403 0524 0402 National Brewers 153 655 13 0301 0373 0.46s Jonathan Lucroy 0.477 Ben Zobrist American 146 6SA 10 03S1 0.39s 0.333 Anthony Rizzo American Orioles 159 682 29 0281 0311 0.469 0.34 Adam Jone American Mariners 159 6SA 2s 0.258 0.334 0.454 0.36 Kyle Seager Jason Heyward 0411 Robinson Cano lan Kinsler American Tigers 161 726 17 0307 0.42 0.39 Josh Harrison Jayson Werth American Todd Frazier National Reds 157 660 29 0.273 0.336 0.459 0.35 American 708

Explanation / Answer

Total no of players is = 30, American = 16, National = 14, Tigers playing in American League = 2

To Find the probability that you select someone from the Detroit Tigers, given that you know that you are looking at an American League player.

Now P(B/A) = P(B and A) / P(A)

P(A) = Probability that a player picked is playing for the American League = 16/30 = 8/15

P(B and A) Probability of Picking a Tiger and who plays for the American League = 2/16 = 1/8

Therefore the required Probability = (1/8) /(8/15) = 15/64 = 0.2343

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