write down each of the letters of the word
PROBABILITY on 11 pieces of paper
and put in on a bag. then draw 4 of these
Slips, the probability that th word
BOLT can be formed the selected
letter is and find the probability
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Answer:
There are 12 letters total (assuming repeats matter) of which 5 are vowels. So the probability of a vowel is 5/12=0.4166667
Let’s prove this probability using a Monte Carlo simulation on 1 million trials in R:
word<-toupper("Mathematical")
letter_list<-unlist(strsplit(word, ""))
vowels<-c("A","E","I","O","U")
monte_carlo<-replicate(1000000,
{
letter<-sample(letter_list,1)
letter %in% vowels
}
)
mean(monte_carlo)
0.416125
Step-by-step explanation:
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