मराठी

In a Simultaneous Throw of a Pair of Dice, Find the Probability of Getting:(Xv) a Total of 9 Or 11 - Mathematics

Advertisements
Advertisements

प्रश्न

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

उत्तर

We know that in a single throw of two dices, the total number of possible outcomes is (6 × 6) = 36.
Let S be the sample space.
Then n(S) = 36

Let E15 = event of getting a total of 9 or 11
Then E15 = {(3, 6), (4, 5), (5, 4) , (5, 6), (6, 3), (6, 5) }
        i.e. (E15) = 6

\[\therefore P\left( E_{15} \right) = \frac{n\left( E_{15} \right)}{n\left( S \right)} = \frac{6}{36} = \frac{1}{6}\]

 

shaalaa.com
Probability - Probability of 'Not', 'And' and 'Or' Events
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 33: Probability - Exercise 33.3 [पृष्ठ ४५]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 11
पाठ 33 Probability
Exercise 33.3 | Q 2.15 | पृष्ठ ४५

संबंधित प्रश्‍न

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

  1. a vowel
  2. an consonant

If E and F are events such that P(E) = `1/4`, P(F) = `1/2` and P(E and F) = `1/8`, find

  1. P(E or F)
  2. P(not E and not F).

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?


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?


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 one ticket.


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


A dice is thrown. Find the probability of getting:

 2 or 4


A dice is thrown. Find the probability of getting a multiple of 2 or 3.

 

In a simultaneous throw of a pair of dice, find the probability of getting a doublet of odd numbers


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


Two dice are thrown. Find the odds in favour of getting the sum 5.

 

 


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 6 red marbles numbered 1 through 6 and 4 white marbles numbered from 12 through 15. Find the probability that a marble drawn is white and odd numbered .


Fill in the blank in the table:

P (A) P (B) P (A ∩ B) P(A∪ B)
0.5 0.35 ..... 0.7

If A and B are two events associated with a random experiment such that
P(A) = 0.5, P(B) = 0.3 and P (A ∩ B) = 0.2, find P (A ∪ B).


A card is drawn at random from a well-shuffled deck of 52 cards. Find the probability of its being a spade or a king.


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


The probability that a leap year will have 53 Fridays or 53 Saturdays 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


A bag contains 5 black balls, 4 white balls and 3 red balls. If a ball is selected randomwise, the probability that it is black or red ball is


Two dice are thrown simultaneously. The probability of getting a pair of aces is


Five persons entered the lift cabin on the ground floor of an 8 floor house. Suppose that each of them independently and with equal probability can leave the cabin at any floor beginning with the first, then the probability of all 5 persons leaving at different floor 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 two tickets.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×