Advertisements
Advertisements
Question
One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting a spade.
Solution
Total number of cards in a well-shuffled deck = 52
Total number of spade cards = 13
P (getting a spade card) =`"Number of favourable outcomes"/"Total number of outcomes"`
= `13/52`
= `1/4`
APPEARS IN
RELATED QUESTIONS
Probability of an event E + Probability of the event ‘not E’ = _______.
A box contains 5 red marbles, 8 white marbles and 4 green marbles. One marble is taken out of the box at random. What is the probability that the marble taken out will be (i) red? (ii) white? (iii) not green?
Gopi buys a fish from a shop for his aquarium. The shopkeeper takes out one fish at random from a tank containing 5 male fish and 8 female fish (see Figure). What is the probability that the fish taken out is a male fish?
Two dice, one blue and one grey, are thrown at the same time.
(i) Write down all the possible outcomes and complete the following table:
| Event : ‘Sum on 2 dice’ |
2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
| Probability | `1/36` | `5/36` | `1/36` |
A box contains 12 balls out of which x are black. If one ball is drawn at random from the box, what is the probability that it will be a black ball?
If 6 more black balls are put in the box, the probability of drawing a black ball is now double of what it was before. Find x.
From a deck of 52 cards, all the face cards are removed and then the remaining cards are shuffled. Now one card is drawn from the remaining deck. Find the probability that the card drawn is a black card.
Suppose the pen drawn in (i) is defective and is not replaced. Now one more pen is drawn at random from the rest. What is the probability that this pen is:
- defective
- not defective?
Two dice (each bearing numbers 1 to 6) are rolled together. Find the probability that the sum of the numbers on the upper-most faces of two dice is more than 10.
Offices in Delhi are open for five days in a week (Monday to Friday). Two employees of an office remain absent for one day in the same particular week. Find the probability that they remain absent on different days.
20 tickets, on which numbers 1 to 20 are written, are mixed thoroughly and then a ticket is drawn at random out of them. Find the probability that the number on the drawn ticket is a multiple of 3 or 7 ?
How many possibilities is the following?
Vanita knows the following sites in Maharashtra. She is planning to visit one of them in her summer vacation.
Ajintha, Mahabaleshwar, Lonar Sarovar, Tadoba wild life sanctuary, Amboli, Raigad, Matheran, Anandavan.
A box contains 30 tickets, bearing only one number from 1 to 30 on each. If one ticket is drawn at random, find the probability of an event that the ticket drawn bears an odd number .
Length and breadth of a rectangular garden are 77 m and 50 m. There is a circular lake in the garden having diameter 14 m. Due to wind, a towel from a terrace on a nearby building fell into the garden. Then find the probability of the event that it fell in the lake.
Fill in the blank:
The probability of a sure event is ........ .
In a cricket match a batsman hits a boundary 6 times out of 30 balls he plays. Find the probability that he did not hit the boundary?
A coin is tossed 100 times with the following frequency:
Head = 55, Tail = 45
find the probability of getting tail.
A bag contains 10 red, 5 blue and 7 green balls. A ball is drawn at random. Find the probability of this ball being a red ball.
An integer is chosen between 0 and 100. What is the probability that it is divisible by 7?
A card is drawn at random from a well shuffled deck of 52 playing cards. The probability of getting a face card is ______.
When a die is thrown, the probability of getting an even number less than 4 is ______.
