Advertisements
Advertisements
प्रश्न
A card is drawn at random from a well-shuffled pack of 52 cards. Find the probability of getting
(i) a red king.
(ii) a queen or a jack.
उत्तर
Total number of cards in a pack = 52
∴ Number of possible outcomes = 52
(i) There are 2 red kings in a pack of cards such as king of heart and king of diamond.
Number of favourable outcomes = 2
Let E be the event that the card is red king.
`therefore P(E)=\text{Number of favourable outcomes}/\text{Number of possible outcomes}=2/52=1/26`
Thus, the probability of getting a red king is `1/26`.
(ii) There is one queen and one jack for each of spade, heart, club and diamond. Thus, there are 4 queens and 4 jacks in a pack of cards.
Number of favourable outcomes = 8
Let F be the event that the card is a queen or a jack.
`therefore P(f)=\text{Number of favourable outcomes}/\text{Number of possible outcomes}=8/52=2/13`
Thus, the probability of getting a queen or a jack is`2/13`
APPEARS IN
संबंधित प्रश्न
One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting a face card.
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 dice are thrown simultaneously. What is the probability that 5 will come up on at least one?
A circle with diameter 20 cm is drawn somewhere on a rectangular piece of paper with length 40 cm and width 30 cm. This paper is kept horizontal on table top and a dice, very small in size, is dropped on the rectangular paper without seeing towards it. If the dice falls and lands on the paper only, find the probability that it will fall and land inside the circle.
How many possibilities is following?
Any day of a week is to be selected randomly.
In a game of chance, a spinning arrow comes to rest at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8. All these are equally likely outcomes. Find the probability that it will rest at a number greater than 2.
Two dice are thrown simultaneously. What is the probability that the sum of the numbers appearing on the dice is 7?
Two dice are rolled simultaneously. What is the probability that 6 will come up at least once?
An unbiased coin is tossed twice. Find the probability of getting exactly one tail.
A box contains 90 discs which are numbered 1 to 90. If one disc is drawn at random from the box, find the probability that it bears a 2-digit number less than 40.
