Mathematics
27.03.2020 13:04
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Helppppp u f,u,c,k,e,r,s

Helppppp u f,u,c,k,e,r,s
Helppppp u f,u,c,k,e,r,s
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enrique3300
enrique3300
5,0(17 marks)

Step-by-step explanation:

Given that in the game Scrabble, there are a total of 100 tiles. Of the 100 tiles, 42 tiles have the vowels A, E, I, O, and U printed on them, 56 tiles have the consonants printed on them, and 2 tiles  are left blank.

a. If tiles are selected at random, the probability that the first tile drawn from the pile of 100 tiles is a vowel = \frac{42}{100} =0.42

b. If tiles drawn are not replaced,  the probability that the first two tiles selected are both vowels =0.42^2 = 0.1764

c. Event A is drawing a vowel, event B is drawing a consonant, and event C is drawing a blank tile. A1 means a vowel is drawn on the first selection, B2 means a consonant is  drawn on the second selection, and C2 means a blank tile is drawn on the second selection. Tiles are selected at random and without replacement.

i. Find P(A1 and B2). =\frac{42}{100} *\frac{56}{99} \\=0.2376

ii. Find P(A1 and c2). =\frac{42}{100} *\frac{4}{99} \\=0.0170

iii. Find P(A1 and A2).=\frac{42}{100} *\frac{41}{99} \\=0.1739

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