Advertisements
Advertisements
प्रश्न
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 ______.
विकल्प
`7/90`
`9/90`
`1/9`
`10/90`
`4/15`
`4/45`
`8/89`
\[\frac{9}{89}\]
उत्तर
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 `underlinebb(4/45)`.
Explanation:
There are 90 discs numbered from 1 to 90.
∴ Total number of outcomes = 90
The prime numbers less than 23 are 2, 3, 5, 7, 11, 13, 17 and 19.
So, the favourable number of outcomes are 8.
∴ P(disc drawn bears a prime number less than 23) = \[\frac{\text{ Favourable number of outcomes }}{\text{ Total number of outcomes }} = \frac{8}{90} = \frac{4}{45}\]
APPEARS IN
संबंधित प्रश्न
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.
In the accompanying diagram a fair spinner is placed at the center O of the circle.
Diameter AOB and radius OC divide the circle into three regions labelled X, Y and Z. If
∠BOC = 45°. What is the probability that the spinner will land in the region X?(See fig)
In fig. 7 is shown a disc on which a player spins an arrow twice. The fraction `a/b` is formed, where 'a' is the number of sector on which arrow stops on the first spin and 'b' is the number of the sector in which the arrow stops on second spin. On each spin, each sector has equal chance of selection by the arrow. Find the probability that the fraction `a/b>1.`
A bag contains cards numbered from 1 to 25. A card is drawn at random from the bag. The probability that the number on this card is divisible by both 2 and 3 is
(A)`1/5`
(B)`3/25`
(C)`4/25`
(D)`2/25`
All kings, queens and aces are removed from a pack of 52 cards. The remaining cards are well shuffled and then a card is drawn from it. Find the probability that the drawn card is (i) a black face card. (ii) a red card.
Solve any two of the following.
If two coins are tossed simultaneously, find the probability of getting a head on both the coins.
Which of the following cannot be the probability of occurence of an event?
From the letters of the word ''MOBILE", a letter is selected. The probability that the letter is a vowel, is
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.
The probability of selecting a red ball at random from the jar that contains only red, blue and orange balls is `1/4`. The probability of selecting a blue ball at random from the same jar is `1/3`. If the jar contains 10 orange balls, find the total number of balls in the jar.
A carton consists of 100 shirts of which 88 are good and 8 have minor defects. Rohit, a trader, will only accept the shirts which are good. But Kamal, an another trader, will only reject the shirts which have major defects. One shirt is drawn at random from the carton. What is the probability that it is acceptable to Rohit.
A carton consists of 100 shirts of which 88 are good and 8 have minor defects. Rohit, a trader, will only accept the shirts which are good. But Kamal, an another trader, will only reject the shirts which have major defects. One shirt is drawn at random from the carton. What is the probability that it is acceptable to Kamal?
A group consists of 12 persons, of which 3 are extremely patient, other 6 are extremely honest and rest are extremely kind. A person from the group is selected at random. Assuming that each person is equally likely to be selected, find the probability of selecting a person who is
- extremely patient,
- extremely kind or honest.
Which of the above values you prefer more?
By using two variables, write the following statement in mathematical form:
The cost of two tables and five chairs is 2,200.
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 not a red ball.
In a single throw of a die, find the probability that the number:
(i) will be an even number.
(ii) will be an odd number.
(iii) will not be an even number.
A coin is tossed three times. The number of possible outcomes is ______.
If a pair of coins is tossed, then the number of outcomes are 2.
Sonia picks up a card from the given cards.
Calculate the probability of getting B card bearing number > 7
A bag contains 25 cards, numbered through 1 to 25. A card is drawn at random. What is the probability that the number on the card drawn is a prime number?
