Advertisements
Advertisements
Question
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 a prime number
Solution
Total number of outcomes = 20
The prime numbers from 1 to 20 are 2, 3, 5, 7, 11, 13, 17 and 19.
So, the favourable number of outcomes are 8.
∴ P(number on the drawn card is a prime number) = \[\frac{\text{ Favourable number of outcomes }}{\text{ Total number of outcomes }} = \frac{8}{20} = \frac{2}{5}\]
APPEARS IN
RELATED QUESTIONS
Two different dice are rolled together. Find the probability of getting the sum of numbers on two dice to be 5.
All red face cards are removed from a pack of playing cards. The remaining cards were well shuffled and then a card is drawn at random from them. Find the probability that the drawn card is
(i) a red card
(ii) a face card
(iii) a card of clubs
Two dice are thrown. Find the probability of the event that the product of numbers on their upper faces is 12.
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 numbers obtained have a product less then 16.
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
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 an odd number
In a bag there are 44 identical cards with figure of circle or square on them. There are 24 circles, of which 9 are blue and rest are green and 20 squares of which 11 are blue and rest are green. One card is drawn from the bag at random. Find the probability that it has the figure of blue circle and
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)
Two different dice are rolled simultaneously. Find the probability that the sum of the numbers on the two dice is 10.
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.
Two dice are rolled simultaneously, write down the total number of possible outcomes.
A die is thrown once. Find the probability of getting a number which (i) is a prime number (ii) lies between 2 and 6.
Three identical coins are tossed together. What is the probability of obtaining:
all heads?
A die is thrown once. Find the probability of getting:
a number other than 3 and 5
A letter of English alphabets is chosen at random. Determine the probability that the letter is a consonant.
Ram put some buttons on the table. There were 4 blue, 7 red, 3 black and 6 white buttons in all. All of a sudden, a cat jumped on the table and knocked out one button on the floor. What is the probability that the button on the floor is blue?
A coin is tossed two times. The number of possible outcomes is ______.
Three coins are tossed simultaneously. What is the probability of getting at least one head?
Three coins are tossed simultaneously. What is the probability of getting exactly two tails?
