Advertisements
Advertisements
प्रश्न
Two different dice are tossed together. Find the probability that the product of the two numbers on the top of the dice is 6.
उत्तर
Two dice are tossed
S = [(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2), 4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)]
Total number of outcomes when two dice are tossed = 6 x 6= 36
Favourable events of getting the product as 6 are:
(1 x 6 = 6), (6 x 1 = 6),(2 x 3 = 6),(3 x 2 = 6)
i.e.(1,6), (6,1), (2,3), (3,2)
Favourable events of getting product as 6 = 4
P(getting product as 6) = `4/36`
= `1/9`
APPEARS IN
संबंधित प्रश्न
Find the class mark of the classes 20-30 and 30-40.
Two digit numbers are formed using the digits 0, 1, 2, 3, 4, 5 where digits are not repeated.
P is the event that the number so formed is even.
Q is the event that the number so formed is greater than 50.
R is the event that the number so formed is divisible by 3.
Then write the sample space S and events P, Q, R using set notation.
The probability of selecting a red ball at random from a jar that contains only red, blue and orange balls is 1/4. The probability of selecting a blue ball at random from the same jar 1/3. If the jar contains 10 orange balls, find the total number of balls in the jar.
In the Fig. below, JKLM is a square with sides of length 6 units. Points A and B are the
mid- points of sides KL and LM respectively. If a point is selected at random from the
interior of the square. What is the probability that the point will be chosen from the interior of ΔJAB?
Choose the correct alternative answer for the following question.
A die is rolled. What is the probability that the number appearing on upper face is less than 3 ?
A bag contains cards numbered from 1 to 49. A card is drawn from the bag at random, after mixing the card thoroughly. Find the probability that the number on the drawn card is a multiple of 5
One card is drawn at random from a well shuffled deck of 52 cards. What is the probability of getting an ace?
The probability that a number selected at random from the numbers 1, 2, 3, ..., 15 is a multiple of 4, is
If a number x is chosen from the numbers 1, 2, 3, and a number y is selected from the numbers 1, 4, 9. Then, P(xy < 9)
In a single throw of a pair of dice, the probability of getting the sum a perfect square is
A bag contains 4 white balls, 5 red balls, 2 black balls and 4 green balls. A ball is drawn at random from the bag. Find the probability that it is red or white.
A card is drawn at random from a well-shuffled pack of 52 cards. Find the probability that the drawn card is neither a king nor a queen.
A piggy bank contains hundred 50 p coins, seventy ₹1 coin, fifty ₹2 coins and thirty ₹5 coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down, what is the probability that the coin will be a ₹1 coin?
A piggy bank contains hundred 50 p coins, seventy ₹1 coin, fifty ₹2 coins and thirty ₹5 coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down, what is the probability that the coin will be a 50 p or a ₹2 coin?
A box contains a certain number of balls. On each of 60% balls, letter A is marked. On each of 30% balls, letter B is marked and on each of remaining balls, letter C is marked. A ball is drawn from the box at random. Find the probability that the ball drawn is:
- marked C
- A or B
- neither B nor C
A coin is tossed. What is the probability of getting:
a head?
A coin is tossed twice. Find the probability of getting: exactly one tail
A bag contains 3 white, 5 black, and 2 red balls, all of the same shape and size. A ball is drawn from the bag without looking into it, find the probability that the ball drawn is a red ball.
There are 24 balls in a pot. If 3 of them are Red, 5 of them are Blue and the remaining are Green then, what is the probability of picking out a Green ball?
Each outcome or a collection of outcomes in an experiment makes an ______.
