Advertisements
Advertisements
प्रश्न
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 a prime number greater than 7.
उत्तर
Let E2 be the event of getting a prime number greater than 7.
Out of these numbers, prime numbers greater than 7 are 11, 13, 17, 19, 23 and 29.
Number of favourable outcomes = 6
∴ P(getting a prime number greater than 7) = P(E2) = `("Number of outcomes favourable to" E_2)/"Number of all possible outcomes"`
`= 6/30 = 1/5`
Thus, the probability that the number on the card is a prime number greater than 7 is `1/5`.
APPEARS IN
संबंधित प्रश्न
Three different coins are tossed together. Find the probability of getting exactly two heads.
In below Fig., points A, B, C and D are the centers of four circles that each have a radius of length one unit. If a point is selected at random from the interior of square ABCD. What is the probability that the point will be chosen from the shaded region?
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 multiple of 5.
A die is tossed once. Find the probability of getting an even number or a multiple of 3 ?
Five cards − the ten, jack, queen, king and ace of diamonds, are well-shuffled with their face downwards. One card is then picked up at random.
If the queen is drawn and put a side, what is the probability that the second card picked up is (a) an ace? (b) a queen?
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
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.
Which of the following cannot be the probability of occurence of an event?
A box contains 90 discs, numbered from 1 to 90. If one disc is drawn at random from the box, the probability that it bears a prime number less than 23, is ______.
Two numbers 'a' and 'b' are selected successively without replacement in that order from the integers 1 to 10. The probability that\[\frac{a}{b}\] is an integer, is
A bag contains 18 balls out of which x balls are red. If the ball is drawn at random from the bag, what is the probability that it is not red?
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.
Two dice are rolled simultaneously, write down the total number of possible outcomes.
A game consists of tossing a coin 3 times and noting the outcome each time. If getting the result in the tosses is a success, find the probability of losing the game.
Find If A If tan 2A = cot (A-24°)
A die is thrown once. Find the probability of getting a number which
lies between 2 and 6.
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.
You are walking along a street. If you just choose a stranger crossing you, what is the probability that his next birthday will fall on a Sunday?
Total number of outcomes, when a ball is drawn from a bag which contains 3 red, 5 black and 4 blue balls is ______.
