English

A letter is chosen at random from the word ‘ASSASSINATION’. Find the probability that letter is a vowel an consonant - Mathematics

Advertisements
Advertisements

Question

A letter is chosen at random from the word ‘ASSASSINATION’. Find the probability that letter is

  1. a vowel
  2. an consonant
Sum
Advertisements

Solution

The word ASSASSINATION has total 13 letters in which (A, A, A, I, I, O) 6 vowels and (S, S, S, S,N, N, T) 7 consonants.

i. n(S) = 13

Number of vowels = 6

Probability of choosing a vowel = `6/13`

ii. Number of consonants = 7

n(S) = 13

Probability of choosing a consonant = `7/13`

shaalaa.com
Concept of Probability - Probability of 'Not', 'And' and 'Or' Events
  Is there an error in this question or solution?
Chapter 16: Probability - Exercise 16.3 [Page 404]

APPEARS IN

NCERT Mathematics [English] Class 11
Chapter 16 Probability
Exercise 16.3 | Q 10 | Page 404

RELATED QUESTIONS

A and B are events such that P(A) = 0.42, P(B) = 0.48 and P(A and B) = 0.16. Determine P(not A).


A and B are events such that P(A) = 0.42, P(B) = 0.48 and P(A and B) = 0.16. Determine P (not B)


In Class XI of a school 40% of the students study Mathematics and 30% study Biology. 10% of the class study both Mathematics and Biology. If a student is selected at random from the class, find the probability that he will be studying Mathematics or Biology.


In an entrance test that is graded on the basis of two examinations, the probability of a randomly chosen student passing the first examination is 0.8 and the probability of passing the second examination is 0.7. The probability of passing at least one of them is 0.95. What is the probability of passing both?


Three letters are dictated to three persons and an envelope is addressed to each of them, the letters are inserted into the envelopes at random so that each envelope contains exactly one letter. Find the probability that at least one letter is in its proper envelope.


A dice is thrown. Find the probability of getting a prime number


A dice is thrown. Find the probability of getting:

 2 or 4


In a simultaneous throw of a pair of dice, find the probability of getting odd number on the first and 6 on the second


In a simultaneous throw of a pair of dice, find the probability of getting a total of 9 or 11


In a single throw of three dice, find the probability of getting a total of 17 or 18.

 

Three coins are tossed together. Find the probability of getting exactly two heads


Three coins are tossed together. Find the probability of getting at least two heads


Three coins are tossed together. Find the probability of getting at least one head and one tail.

 

Two dice are thrown. Find the odds in favour of getting the sum 4.


Two dice are thrown. Find the odds in favour of getting the sum  What are the odds against getting the sum 6?


A box contains 10 red marbles, 20 blue marbles and 30 green marbles. 5 marbles are drawn at random. From the box, what is the probability that all are blue?


A box contains 10 red marbles, 20 blue marbles and 30 green marbles. 5 marbles are drawn at random. From the box, what is the probability that  at least one is green?


A box contains 6 red marbles numbered 1 through 6 and 4 white marbles numbered from 12 through 15. Find the probability that a marble drawn is red or even numbered.


Fill in the blank in the table:

P (A) P (B) P (A ∩ B) P(A∪ B)
\[\frac{1}{3}\] \[\frac{1}{5}\] \[\frac{1}{15}\] ......

If A and B are two events associated with a random experiment such that
P (A ∪ B) = 0.8, P (A ∩ B) = 0.3 and P \[(\bar{A} )\]= 0.5, find P(B).

 


One of the two events must happen. Given that the chance of one is two-third of the other, find the odds in favour of the other.


In a single throw of two dice, find the probability that neither a doublet nor a total of 9 will appear.


A card is drawn from a deck of 52 cards. Find the probability of getting an ace or a spade card.


The probability that a student will pass the final examination in both English and Hindi is 0.5 and the probability of passing neither is 0.1. If the probability of passing the English Examination is 0.75. What is the probability of passing the Hindi Examination?


Find the probability of getting 2 or 3 tails when a coin is tossed four times.

 

One of the two events must occur. If the chance of one is 2/3 of the other, then odds in favour of the other are


A person write 4 letters and addresses 4 envelopes. If the letters are placed in the envelopes at random, then the probability that all letters are not placed in the right envelopes, is


A and B are two events such that P (A) = 0.25 and P (B) = 0.50. The probability of both happening together is 0.14. The probability of both A and B not happening is


If the probability of A to fail in an examination is \[\frac{1}{5}\]  and that of B is \[\frac{3}{10}\] . Then, the probability that either A or B fails is

 
 

A box contains  10 good articles and 6 defective articles. One item is drawn at random. The probability that it is either good or has a defect, is


An urn contains 9 balls two of which are red, three blue and four black. Three balls are drawn at random. The probability that they are of the same colour is


A box contains 10 good articles and 6 with defects. One item is drawn at random. The probability that it is either good or has a defect is


One mapping is selected at random from all mappings of the set A = {1, 2, 3, ..., n} into itself. The probability that the mapping selected is one to one is


In a certain lottery 10,000 tickets are sold and ten equal prizes are awarded. What is the probability of not getting a prize if you buy 10 tickets.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×