Advertisements
Advertisements
प्रश्न
A number is selected at random from the numbers 1 to 30. The probability that it is a prime number is
पर्याय
\[\frac{2}{3}\]
\[\frac{1}{6}\]
\[\frac{1}{3}\]
\[\frac{11}{30}\]
उत्तर
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
संबंधित प्रश्न
The probability that a number selected at random from the numbers 1, 2, 3, ..., 15 is a multiple of 4, is
`(A)4/15`
`(B)2/15`
`(C)1/5`
`(D)1/3`
Rahim tosses two different coins simultaneously. Find the probability of getting at least one tail.
Two coins are tossed simultaneously. Write the sample space (S), n(S), the following event A
using set notation and n(A), where ‘A is the event of getting at least one head.’
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 box contains cards bearing numbers from 6 to 70. If one card is drawn at random from the box, find the probability that it bears
(i) a one digit number.
(ii) a number divisible by 5.
(iii) an odd number less than 30.
(iv) a composite number between 50 and 70.
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.
Choose the correct alternative answer for the following question.
If n(A) = 2, P(A) = `1/5`, then n(S) = ?
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
Red queens and black jacks 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 card drawn is a face card
One card is drawn from a well shuffled deck of 52 playing cards. What is the probability of getting a non-face card?
One card is drawn at random from a well shuffled deck of 52 cards. What is the probability of getting an ace?
In Q. No. 1, The probability that the digit is even is
Two dice are rolled simultaneously. The probability that they show different faces is
In a family of 3 children, find the probability of having at least one boy.
A card is drawn from a well-shuffled pack of 52 cards. Find the probability of getting a black king.
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 die is thrown once. Find the probability of getting:
a prime number
The total number of events of throwing 10 coins simultaneously is ____________.
When a dice is rolled, the six possible outcomes are ______.
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`
