Advertisements
Advertisements
Question
A number is selected at random from the numbers 1 to 30. The probability that it is a prime number is
Options
\[\frac{2}{3}\]
\[\frac{1}{6}\]
\[\frac{1}{3}\]
\[\frac{11}{30}\]
Solution
Total number of outcomes = 30
The prime numbers from 1 to 30 are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29.
So, the favourable number of outcomes are 10.
∴ P(selected number is a prime number) =\[\frac{\text{ Favourable number of outcomes }}{\text{ Total number of outcomes }} = \frac{10}{30} = \frac{1}{3}\]
APPEARS IN
RELATED QUESTIONS
A card is drawn from a well shuffled deck of 52 cards. Find the probability of getting (i) a king of red colour (ii) a face card (iii) the queen of diamonds.
All the black face cards are removed from a pack of 52 cards. The remaining cards are well shuffled and then a card is drawn at random. Find the probability of getting king
A die thrown once. What is the probability of getting a number lying between 2 and 6?
Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn bears a number which is a multiple of 3?
What is the probability that a number selected at random from the numbers 3, 4, 5, ....9 is a multiple of 4?
A letter of English alphabet is chosen at random. Determine the probability that the chosen letter is a consonant.
A bag contains 3 red and 5 black balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is not red.
If two different dice are rolled together, the probability of getting an even number on both dice is
A card is drawn from a well-shuffled pack of 52 cards. Find the probability of getting a black king.
Two different dice are rolled simultaneously. Find the probability that the sum of the numbers on the two dice is 10.
A box contains 80 discs, which are numbered from 1 to 80. If one disc is drawn at random from the box, find the probability that it bears a perfect square number.
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 card of clubs.
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?
A box contains a certain number of balls. Some of these balls are marked A, some are marked B and the remaining are marked C. When a ball is drawn at random from the box P(A) = `1/3` and P(B) = `1/4`. If there are 40 balls in the box which are marked C, find the number of balls in the box.
A die is thrown, find the probability of getting:
a number greater than 4
If the probability of an event is p, the probability of its complementary event will be ______.
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 ______.
A dice is rolled once. What is the probability that the number on top will be a multiple of 3
Sonia picks up a card from the given cards.
Calculate the probability of getting a Y card
