Advertisements
Advertisements
प्रश्न
Two digit numbers are formed using the digits 0, 1, 2, 3, 4, 5 where digits are not repeated.
P is the event that the number so formed is even.
Q is the event that the number so formed is greater than 50.
R is the event that the number so formed is divisible by 3.
Then write the sample space S and events P, Q, R using set notation.
उत्तर
As we have to form two-digit numbers, 0 cannot be at the tens place.
The sample space is
S = {10, 12, 13, 14, 15, 20, 21, 23, 24, 25, 30, 31, 32, 34, 35, 40, 41,
42, 43, 45, 50, 51, 52, 53, 54}
Let P be the event that the number formed is an even number.
∴ P = {10, 12, 14, 20, 24, 30, 32, 34, 40, 42, 50, 52, 54}
Let Q be the event that the number formed is greater than 50.
∴ Q = {51, 52, 53, 54}
Let R be the event that the number formed is divisible by 3.
∴ R = {12, 15, 21, 24, 30, 42, 45, 51, 54}
संबंधित प्रश्न
If two different dice are rolled together, the probability of getting an even number on both dice, is:
(A) 1/36
(B) 1/2
(C) 1/6
(D) 1/4
A number is selected at random from the numbers 1 to 30. The probability that it is a prime number is:
(A) 2/3
(B) 1/6
(C) 1/3
(D) 11/30
A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is either a king or a queen.
All the red face cards 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 drawn card is an ace.
A die is tossed once. Find the probability of getting an even number or a multiple of 3 ?
Which number cannot represent a probability?
Five cards − the ten, jack, queen, king and ace of diamonds, are well-shuffled with their face downwards. One card is then picked up at random.
If the queen is drawn and put a side, what is the probability that the second card picked up is (a) an ace? (b) a queen?
All jacks, queens and kings are removed from a pack of 52 cards. The remaining cards are well-shuffled and then a card is randomly drawn from it. Find the probability that this card is a black face card
A die thrown once. What is the probability of getting a number lying between 2 and 6?
A die is thrown once. What is the probability of getting a number greater than 4?
A card is drawn at random from a pack of 52 cards. The probability that the drawn card is not an ace is
In a single throw of a pair of dice, the probability of getting the sum a perfect square is
A card is drawn at random from a well-shuffled pack of 52 cards. Find the probability of getting a queen or a jack.
A piggy bank contains hundred 50 p coins, seventy ₹1 coin, fifty ₹2 coins and thirty ₹5 coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down, what is the probability that the coin will be a ₹1 coin?
Three coins are tossed simultaneously. What is the probability of getting exactly two heads?
A bag contains 8 red, 2 black and 5 white balls. One ball is drawn at random. What is the probability that the ball drawn is not black?
Two dice are thrown at the same time. Find the probability that the sum of the two numbers appearing on the top of the dice is: 0
What is the probability that the minute and hour hands of a clock will form an acute angle at any given time?
A dice is rolled once. What is the probability that the number on top will be a factor of 6
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 multiple of 5?
