Advertisements
Advertisements
प्रश्न
A die is thrown, find the probability of getting:
a number greater than 4
उत्तर
A die has six numbers: 1, 2, 3, 4, 5, 6
∴ Number of possible outcomes = 6
a number greater than 4
Numbers of favourable outcomes = greater than four i.e. two number 5 and 6
P(E) = `"Number of favourable outcomes"/"Number of all possible outcomes"`
= `2/6 = 1/3`
APPEARS IN
संबंधित प्रश्न
In a certain race, there are three boys A, B, C. The winning probability of A is twice than B and the winning probability of B is twice than C. If P(A) + P(B) + P(C) = 1, then find the probability of win for each boy.
A bag contains, white, black and red balls only. A ball is drawn at random from the bag.If the probability of getting a white ball is 3/10 and that of a black ball is 2/5 then find the
probability of getting a red ball. If the bag contains 20 black balls, then find the total number of balls in the bag.
Two different dice are tossed together. Find the probability
(i) that the number on each die is even.
(ii) that the sum of numbers appearing on the two dice is 5.
Cards marked with number 3, 4, 5, ...., 50 are placed in a box and mixed thoroughly. A card is drawn at random form the box. Find the probability that the selected card bears a perfect square number.
Two coins are tossed simultaneously. Write the sample space (S), n(S), the following event A
using set notation and n(A), where ‘A is the event of getting at least one head.’
A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is neither a jack nor a king.
Cards numbered from 11 to 60 are kept in a box. If a card is drawn at random from the box, find the probability that the number on the drawn card is a perfect square number.
All the red face cards are removed from a pack of 52 playing cards. A card is drawn at random from the remaining cards, after reshuffling them. Find the probability that the drawn card is a queen.
A bag contains cards numbered from 1 to 49. A card is drawn from the bag at random, after mixing the cards thoroughly. Find the probability that the number on the drawn card is a perfect square.
Cards bearing numbers 2, 3, 4, ..., 11 are kept in a bag. A card is drawn at random from the bag. The probability of getting a card with a prime number is
Which number cannot represent a probability?
In a hockey team, there are 6 defenders, 4 offenders, and 1 goalee. Out of these, one player is to be selected randomly as a captain. Find the probability of the selection that – The goalee will be selected.
A piggy bank contains hundred 50 paise coins, fifity ₹1 coins, twenty ₹2 coins and ten ₹5 coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down, find the probability that the coin which fell will be of value less than ₹5
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 an even prime number
The king, queen and jack of clubs are removed form a deck of 52 playing cards and the remaining cards are shuffled. A card is drawn from the remaining cards. Find the probability of getting a card of a face card
Red queens and black jacks are removed from a pack of 52 playing cards. A card is drawn at random from the remaining cards, after reshuffling them. Find the probability that the card drawn is a king
Red queens and black jacks are removed from a pack of 52 playing cards. A card is drawn at random from the remaining cards, after reshuffling them. Find the probability that the card drawn is a queen
One card is drawn at random from a well shuffled deck of 52 cards. What is the probability of getting an ace?
A number is selected from numbers 1 to 25. The probability that it is prime is
From the letters of the word ''MOBILE", a letter is selected. The probability that the letter is a vowel, is
The probability that a number selected at random from the numbers 1, 2, 3, ..., 15 is a multiple of 4, is
If a die is rolled, what is the probability that number appearing on upper face is less than 2?
In a lottery there are 10 prizes and 25 blanks. What is the probability of getting a prize?
17 cards numbered 1, 2, 3, 4, .... ,17 are put in a box and mixed thoroughly. A card is drawn at random from the box. Find the probability that the card drawn bears a number divisible by 5.
A game of chance consists of spinning an arrow which is equally likely to come to rest pointing to one of the numbers 1, 2, 3,..., 12 as shown in the figure. What is the probability that it will point to a prime number ?
A game of chance consists of spinning an arrow which is equally likely to come to rest pointing to one of the numbers 1, 2, 3,..., 12 as shown in the figure. What is the probability that it will point to a number which is a multiple of 5?
Cards numbered 1 to 30 are put in a bag. A card is drawn at random from the bag. Find the probability that the number on the drawn card is not divisible by 3,
All red face cards are removed from a pack of playing cards. The remaining cards are well shuffled and then a card is drawn at random from them. Find the probability that the drawn card is a face card.
A game consists of tossing a one-rupee coin three times, and noting its outcome each time. Find the probability of getting at least two tails.
A bag contains 4 red and 6 black balls. A ball is taken out of the bag at random. What is the probability of getting a black ball?
One card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of getting a 6?
Two dice are thrown. Find the probability of the following events:
Event A : The product of the numbers on their upper faces is 10.
Event B : The sum of the numbers on their upper faces is 10
A die is thrown once. Find the probability of getting.
(a) a prime number.
(b) an odd number
In a single throw of a die, find the probability of getting a number
(i) greater than 2
(ii) less than or equal to 2
(iii) not greater than 2.
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.
Two coins are tossed together. What is the probability of getting:
(i) at least one head
(ii) both heads or both tails.
From 10 identical cards, numbered 1, 2, 3, ……, 10, one card is drawn at random. Find the probability that the number on the card drawn is a multiple of
2 and 3
From 10 identical cards, numbered 1, 2, 3, ……, 10, one card is drawn at random. Find the probability that the number on the card drawn is a multiple of
2 or 3
A die is thrown once. Find the probability of getting:
a number other than 3 and 5
A die is thrown once. Find the probability of getting:
a number less than 6
In a football match, a goalkeeper of a team can stop the goal, 32 times out of 40 attempts tried by a team. Find the probability that the opponent team can convert the attempt into a goal
One ticket is selected at random from 100 tickets numbered 0.0, 01, 02, ……, 99. Suppose x is the sum of digits and y is the product of digits, then the probability that x = 9 and y = 0 is ____________.
A coin is tossed two times. The number of possible outcomes is ______.
On throwing a dice once, the probability of occurence of a composite number is `1/2`.
The probability of getting number 6 in a throw of a dice is `1/6`. Similarly the probability of getting a number 5 is `1/5`.
In a throw of a dice, the probability of getting an even number is the same as that of getting an odd number.
A dice is rolled once. What is the probability that the number on top will be a factor of 36
Sonia picks up a card from the given cards.
Calculate the probability of getting a G card
A card is drawn at random from a pack of well shuffled 52 playing cards. Complete the following activity to find the probability that the card drawn is:
Event A: The card drawn is an ace.
Event B: The card drawn is a spade.
Activity: 'S' is the sample space.
∴ n(S) = 52
Event A: The card drawn is an ace.
∴ n(A) = `square`
P(A) = `square` ......(formula)
∴ P(A) = `square/52`
∴ P(A) = `square/13`
Event B: The card drawn is a spade.
∴ n(B) = `square`
P(B) = `(n(B))/(n(S))`
∴ P(B) = `square/4`
