SOLUTION: For questions 1-4, you draw a letter from the group below. After drawing the first letter, you replace it and draw another letter. Find each probability. SUCCESS p(vowel, th

Algebra ->  Probability-and-statistics -> SOLUTION: For questions 1-4, you draw a letter from the group below. After drawing the first letter, you replace it and draw another letter. Find each probability. SUCCESS p(vowel, th      Log On


   

Question 306811: For questions 1-4, you draw a letter from the group below. After drawing the first letter, you replace it and draw another letter. Find each probability.
SUCCESS
p(vowel, then S)
P(c, Then E)
P(U, then consonant)
P(vowel, then C)
Answer by Fombitz(32388) About Me  (Show Source):
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2 vowels
5 consonants
3 S
1 U
2 C
1 E
7 letters total
.
.
.
P(vowel)=2/7
P(S)=3/7
P(vowel,S)=(2/7)(3/7)=6/49
.
.
.
P(C)=2/7
P(E)=1/7
P(C,E)=(2/7)(1/7)=2/49
.
.
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P(U)=1/7
P(consonant)=5/7
P(U,consonant)=(1/7)(5/7)=5/49
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.
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P(vowel)=2/7
P(C)=2/7
P(vowel,C)=(2/7)(2/7)=4/49