Advertisements
Advertisements
प्रश्न
Two different dice are thrown together. Find the probability that the numbers obtained have
1) even sum, and
2) even product.
उत्तर
Total Number of possible outcomes = 62 = 6*6 = 36 (Two dices are thrown together)
Let A be the event of getting an even sum.
Favourable outcome for event A
= (1,1), (1,3), (1,5),
(2,2), (2,4), (2,6),
(3,1), (3,3), (3,5),
(4,2), (4,4), (4,6),
(5,1), (5,3), (5,5),
(6,2), (6,4), (6,6)
So, there are 18 favourable outcomes. Therefore,
`P(A) = 18/36 = 1/2`
Hence, the probability of getting an even sum is `1/2`
2) Let B be the event of getting an even product
Favourable outcomes for event B
= (1,2), (1,4), (1,6),
(2,1), (2,2),(2,3) (2,4), (2,5), (2,6),
(3,2), (3,4), (3,6),
(4,1), (4,2), (4,3), (4,4), (4,5), (4,6),
(5,2), (5,4), (5,6),
(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)
So, there are 27 favourable outcomes. Therefore,
`P(B) = 27/36 = 3/4`
Hence, the probability of getting an even product is `3/4`
APPEARS IN
संबंधित प्रश्न
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.
A box contains 20 cards numbered from 1 to 20. A card is drawn at random from the box. Find the probability that the number on the drawn card is divisible by 2 or 3
All the black face cards are removed from a pack of 52 cards. The remaining cards are well shuffled and then a card is drawn at random. Find the probability of getting face card
All kings and queens 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 card.
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 queen
All red face cards are removed from a pack of playing cards. The remaining cards are well shuffled and then a card is drawn at random from them. Find the probability that the drawn card is a card of clubs.
In the probability that the digit is a multiple of 3 is
A number is selected at random from the numbers 3, 5, 5, 7, 7, 7, 9, 9, 9, 9 The probability that the selected number is their average is
Two dice are rolled simultaneously. The probability that they show different faces is
A coin is tossed once. What is the probability of getting a tail?
It is known that a box of 200 electric bulbs contains 16 defective bulbs. One bulb is taken out at random from the box. What is the probability that the bulb drawn is non-defective.
Two different dice are rolled simultaneously. Find the probability that the sum of the numbers on the two dice is 10.
Two dice are rolled together. Find the probability of getting such numbers on the two dice whose product is 12.
A box contains cards bearing numbers 6 to 70. If one card is drawn at random from the box, find the probability that it bears a composite number between 50 and 70.
A die is thrown, find the probability of getting:
a prime number
There are 24 balls in a pot. If 3 of them are Red, 5 of them are Blue and the remaining are Green then, what is the probability of picking out a Blue ball?
A lot consists of 144 ball pens of which 20 are defective and the others are good. Tanu will buy a pen if it is good but will not buy it if it is defective. The shopkeeper draws one pen at random and gives it to her. The probability that she will buy that pen is ____________.
A diece is tossed two times. The number of possible outcomes is ______.
When a dice is thrown, outcomes 1, 2, 3, 4, 5, 6 are equally ______.
Sonia picks up a card from the given cards.
Calculate the probability of getting a G card
