मराठी

In a Simultaneous Throw of a Pair of Dice, Find the Probability of Getting:(Xvi) a Total Greater than 8. - Mathematics

Advertisements
Advertisements

प्रश्न

In a simultaneous throw of a pair of dice, find the probability of getting a total greater than 8.

 
Advertisements

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 E16 = event of getting a total greater than 8
Then E16 = {(3, 6), (4, 5), (4, 6), (5, 4), (5, 5), (5, 6), (6, 3), (6, 4), (6, 5), (6, 6)}
         i.e. n (E16) = 10

\[\therefore P\left( E_{16} \right) = \frac{n\left( E_{16} \right)}{n\left( S \right)} = \frac{10}{36} = \frac{5}{18}\]

 

shaalaa.com
Concept of 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 2.16 | पृष्ठ ४५

संबंधित प्रश्‍न

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(A or B).


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.


Out of 100 students, two sections of 40 and 60 are formed. If you and your friend are among the 100 students, what is the probability that

  1. you both enter the same sections?
  2. you both enter the different sections?

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 a doublet of prime numbers


In a simultaneous throw of a pair of dice, find the probability of getting neither 9 nor 11 as the sum of the numbers on the faces


In a simultaneous throw of a pair of dice, find the probability of getting a sum less than 7


In a simultaneous throw of a pair of dice, find the probability of getting neither a doublet nor a total of 10


In a simultaneous throw of a pair of dice, find the probability of getting a number greater than 4 on each die


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


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.


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 .


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 .


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)
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).


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).

 


There are three events ABC one of which must and only one can happen, the odds are 8 to 3 against A, 5 to 2 against B, find the odds against C


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.

 

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


Out of 30 consecutive integers, 2 are chosen at random. The probability that their sum is odd, is


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


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


A box contains 6 nails and 10 nuts. Half of the nails and half of the nuts are rusted. If one item is chosen at random, the probability that it is rusted or is a nail 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×