Advertisements
Advertisements
प्रश्न
A die is rolled twice. Find the probability that 5 will come up exactly one time.
उत्तर
Total number of outcomes = 36.
Cases where 5 comes up on exactly one time are (1, 5), (2, 5), (3, 5), (4, 5), (5, 1), (5, 2), (5, 3), (5, 4), (5, 6) and (6, 5).
Number of such cases = 10.
∴ P(5 will come up exactly one time) = `("Number of favourable outcomes")/"Number of all possible outcomes"`
`= 10/36 = 5/18`
Thus, the probability that 5 will come up exactly one time is `5/18`.
APPEARS IN
संबंधित प्रश्न
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 card is drawn at random from a pack of 52 cards. Find the probability that card drawn is a heart
A bag contains 8 red, 6 white and 4 black balls. A ball is drawn at random from the bag. Find the probability that the drawn ball is Red or white
Two fair dice are rolled simultaneously. The probability that 5 will come up at least once is ______.
In a game, the entry fee is Rs 5. The game consists of a tossing a coin 3 times. If one or two heads show, Sweta gets her entry fee back. If she throws 3 heads, she receives double the entry fees. Otherwise she will lose. For tossing a coin three times, find the probability that she loses the entry fee.
A bag contains 24 balls of which x are red, 2x are white and 3x are blue. A ball is selected at random. What is the probability that it is not red?
In a lucky draw, there are 5 gifts and 25 blanks. The probability of getting a gift is ______.
From a well-shuffled deck of 52 playing cards, a card is drawn at random. What is the probability of getting a red queen?
2 cards of hearts and 4 cards of spades are missing from a pack of 52 cards. A card is drawn at random from the remaining pack. What is the probability of getting a black card?
