subject: Statistics Probability Letters [print this page] Statistics & Probability Letters is an international journal covering all fields of statistics and probability, and providing an outlet for rapid publication of short communications in the field.Many statisticians today are concerned by the labyrinth of research to be conquered in order to reach the specific information they require. To combat this tendency, Statistics & Probability Letters has been designed and conceived outside the realm of the traditional statistics journal. The concise article format (limited to six journal pages including references and figures) permits the editorial board to process papers rapidly and enables the reader to learn about new results and developments efficiently.
Assuming equally likely outcomes, probability of an event E, written as P ( E ) is defined as
P ( E ) = '(Number of favorable outcomes)/(Total Number of possible outcomes)'
Then the probability of an event is given by P ( E ) = '(m)/(n)' where 0'less than or equal to' p'less than or equal to' 1
Lets see some statistics letter problems
Problems on Statistics Probability Letters
Lets learn to solve problems on statistics including letters of English for probability:
Pr 1: A letter is chosen from the letter of English alphabet. Find the probability that it is a vowel
Solution:
Total Number of letters in English alphabet = 26
Number of favorable outcomes ie vowel = 5 ( a, e , i, o, u )
Probability of getting a vowel = '(5)/(26)'
Pro 2:A letter is chosen from the letter of English alphabet. Find the probability that it is a consonant.
Solution:
Total Number of letters in English alphabet = 26
Number of favorable outcomes ie consonants = 21 ( b, c, d, f, g, h, j, k, l, m, n, p, q, r, s, t, v, w, x, y, z )
Probability of getting a consonant = '(21)/(26)'
Pro 3: A letter is chosen from the letter of English alphabet. Find the probability that it is a letter of word "BASE'
Solution:
Total Number of letters in English alphabet = 26
Total number of outcomes = 26
Number of favorable outcomes ie ( B, A, S, E) = 4
Probability of getting a letter of word B A S E = '(4)/(26)'
= '(2)/(13)'
Pro 4 : A letter is chosen from the letter of English alphabet. Find the probability that it is a letter of word "AND'
Solution:Total Number of letters in English alphabet = 26
Total number of outcomes = 26
Number of favorable outcomes ie ( A, N, D) = 3
Probability of getting a letter of word A N D ='(3)/(26)'
Pro 5 :A letter is chosen from the letter of English alphabet. Find the probability that it is a letter of word "MATHEMATICS'
Solution:Total Number of letters in English alphabet = 26
Total number of outcomes = 26
Number of favorable outcomes ie ( M, A, T, H, E, I, C, S) = 8
Probability of getting a letter of word M A T H E M A T I C S = '(8)/(26)'
= '(4)/(13)'
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More Problems on Statistics Probability Letters
Pro 6. A bag contains 6 white, 3 red and 2 green balls. A ball is drawn from the bag. Find the probability that it is a green ball.
Solution:Total Number of balls in the bag = 6 + 3 + 2 = 11
Number of favorable outcomes ie green balls = 2
Probability of getting a green ball = '(Number of favourable outcomes)/(Total Number of possible outcomes)'
= '(2)/(11)'
Pro 7. A bag contains 7 white, 4 red and 3 green balls. A ball is drawn from the bag. Find the probability that it is not a white ball.
Solution:Total Number of balls in the bag = 7 + 4 + 3 = 14
Number of favourable outcomes ie white balls = 7
Probability of getting a white ball = '(7)/(14)'
= '(1)/(2)'
Probability of not a white ball = 1 - P ( of getting a white ball)
= 1 - '(1)/(2)'
= '(1)/(2)'
Pro : 8 A card is drawn from a pack of 52 playing cards. What is the probability that it is an ace?
total number of outcomes = 52
Favorable outcomes = 4
Probability of getting an Ace = '(4)/(52)'
' = ' '(1)/(13)'
Pro 9 :A card is drawn from a pack of 52 playing cards. What is the probability that it is a face card?
Total number of outcomes = 52
Favorable outcome of a face card = 12
Probability of getting a face card = '(12)/(52)'
' = ' '(3)/(13)'
Problem No 10 :A card is drawn from a pack of 52 playing cards. What is the probability that it is a jack?
Total number of all possible outcomes = 52
Favorable outcomes of getting a jack = 4
Probability of getting a jack = '(4)/(52)'
' = ' '(1)/(13)'
Pro 11 :A card is drawn from a pack of 52 playing cards. What is the probability that it is a king ?
Total number of all possible outcomes = 52
Favorable outcomes of getting a king = 4
Probability of getting a king =(4)/(52)
' = ' '(1)/(13)'
Pro 12 :A card is drawn from a pack of 52 playing cards. What is the probability that it is a queen?
