Question

Example 10 Your teacher is trying to demonstrate a probability concept and is running out of ideas. She creates three bags and fills them with 20 scrabble tiles. a) You draw 3 tiles out of the first bag, one after the other, without replacement First Bag P13 vowels) AAAAAAAAAB BICICDD.DD, EEE Second Bag: b) You draw one tile out of each bag. EEEEEEEEE P13 vowels) = F GGGHHT III Third Bar c) You draw two tiles out of the second bur one after the other, without replacement 1.IIIIJKLLL LMMNNNNNNO Pinot drawing an at all) =

Answer 1

In bag 1st there are 12 voucets in total We need to draw 3 vowels without replacement. out of 20 tiles. a> P (3 voweels) 12-2 12 = Х 12-) 20-1 20-2 20 - ro 12XllXIO 20X19X18 = 0.1929 82456 dus a) Anday 0.1929824 5 6 by In first bag there are 12 vowels ( A's and Els In 2nd there are 13 bag 13 voweels (Els and In 3rd there are 6 voreels SI bag I's) (I's and o's) bags can So, 3 voweets from 3 be obtained in 13 12 20 Х Х 20 20 = 0.117 ( Ausb ey P (not doawing an E at all) ZP (doaw anything except E). bag there are a Es. To draw In 2nd

2 tiles without replacement and none is e can be obtained in P ( not drawing an E at all) 9 qol 988 - = 0.189473684. 20 20X19 of Am> On 189473684.