Advertisements
Advertisements
Question
A die is thrown once. Find the probability of getting a composite number
Solution
Total outcomes of throwing a dice once are 1,2 3,4,5 and 6
Probability of getting a composite number
Composite numbers are those that are formed by multiplying two smaller numbers
So, there are two composite numbers in throwing a dice once which is 4 and 6.
probability of getting a composite number =`2/6=1/3`
APPEARS IN
RELATED QUESTIONS
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 of red colour.
A bag contains 25 cards numbered from 1 to 25. A card is drawn at random from the bag. Find the probability that the number on the drawn card is:
(i) divisible by 3 or 5
(ii) a perfect square number
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.
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 prime number less than 20.
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 an even prime number.
Cards numbered 1 to 30 are put in a bag. A card is drawn at random from this bag. Find the probability that the number on the drawn card is a prime number greater than 7
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 a ₹1 or ₹2 coin
A box contains 20 cards numbered from 1 to 20. A card is drawn at random from the box. Find the probability that the number on the drawn card is divisible by 2 or 3
A black die and a white die are thrown at the same time. Write all the possible outcomes. What is the probability?
that the difference of the numbers appearing on the top of two dice is 2.
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 red card
In a single throw of a die, the probability of getting a multiple of 3 is
It is known that a box of 200 electric bulbs contains 16 defective bulbs. One bulb is taken out at random from the box. What is the probability that the bulb drawn is defective.
In a lottery there are 10 prizes and 25 blanks. What is the probability of getting a prize?
A box contains cards numbered 3, 5, 7, 9, .... , 35, 37. A card is drawn at random from the box. Find the probability that the number on the card is a prime number.
In a single throw of a die, find the probability of getting :
(i) 8
(ii) a number greater than 8
(iii) a number less than 8
What is the probability that the minute and hour hands of a clock will form an acute angle at any given time?
On throwing a dice once, the probability of occurence of a composite number is `1/2`.
A dice is rolled once. What is the probability that the number on top will be odd
A dice is rolled once. What is the probability that the number on top will be a factor of 6
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`