You and a friend are playing Scrabble, which involves lettered tiles. Here is the distribution of the tiles:
A:9 B:2 C:2 D:4 E:12 F:2 G:3
H:2 I:9 J:1 K:1 L:4 M:2 N:6
O:8 P:2 Q:1 R:6 S:4 T:6 U:4
V:2 W:2 X:1 Y:2 Z:1 Blank:2
At the start of the game, you choose seven letters. Solve the following, showing all work.
a) what is the probability that you will choose three vowels and four consonants? (counting 'Y' as a vowel)
b) what is the probability that you will choose the letters A,B,C,D,E,F, and G in order?
A calculator is going to be needed. Have Fun!