Find the probability of picking 3 consonants and 2 vowels when 5 letters are picked (without replacement) from a set of alphabet
1 answer:
Step-by-step explanation:
picking 3 consonants and 2 vowels when 5 letters are picked (without replacement) from a set of alphabet tiles.
There are 26 letters in alphabet
number of consonants = 21 and number of vowels = 5
We need to pick 3 consonants from 21 consonants
Probability of picking 1 consonant from 26 alphabets = 21/ 26
after picking 1 consonant then number of consonant becomes 20
Probability of picking second consonant from 25 alphabets = 20/ 25
Probability of picking third consonant from 24 alphabets = 19/ 24
We need to pick 2 vowels from 5 vowels
Probability of picking 1 vowel from remaining 23 alphabets = 5/ 23
Probability of picking second vowel from remaining 22 alphabets = 4/ 22
Now multiply all the probabilities
= 0.02022
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Answer:
The expected monetary value of a single roll is $1.17.
Step-by-step explanation:
The sample space of rolling a die is:
S = {1, 2, 3, 4, 5 and 6}
The probability of rolling any of the six numbers is same, i.e.
P (1) = P (2) = P (3) = P (4) = P (5) = P (6) =
The expected pay for rolling the numbers are as follows:
E (X = 1) = $3
E (X = 2) = $0
E (X = 3) = $0
E (X = 4) = $0
E (X = 5) = $0
E (X = 6) = $4
The expected value of an experiment is:
Compute the expected monetary value of a single roll as follows:
Thus, the expected monetary value of a single roll is $1.17.