if a letter is chosen at random from the 10 letters of the word statistics wat is probability that it is a vowel?
Given, "n=10" , Total number of vowels in word ' STATISTICS'=3
Let p denote the probability of vowel "p=\\dfrac{5}{26}=0.192"
Then "q=1-p=1-0.192=0.8076"
Probability that selected letter is vowel-
"=^{10}C_3 p^3q^{10-3}\\\\=^{10}C_3(0.192)^3(0.8076)^7\\\\=120\\times0.00707\\times 0.224\\\\=0.19"
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