Advertisements
Advertisements
प्रश्न
If a number x is chosen from the numbers 1, 2, 3, and a number y is selected from the numbers 1, 4, 9. Then, P(xy < 9)
पर्याय
\[\frac{7}{9}\]
\[\frac{5}{9}\]
\[\frac{2}{3}\]
\[\frac{1}{9}\]
उत्तर
x is chosen from the numbers 1, 2, 3 and y is chosen from the numbers 1, 4, 9
TO FIND: Probability of getting `P(xy)<9`
We will make multiplication table for x and y such that `(xy)<9`
=`xy=1xx1=1`
=`1xx4=4`
=`1xx9=9`
=`2xx1=2`
=`2xx9=18`
=`3xx1=3`
=`3xx4=12`
=`3xx9=27`
So the numbers such that `(xy)<9` is 5
`"We know that PROBABILITY" = "Number of favourable event"/"Total number of event"`
Hence `P(xy <9)=5/9`
APPEARS IN
संबंधित प्रश्न
A game of chance consists of spinning an arrow on a circular board, divided into 8 equal parts, which comes to rest pointing at one of the numbers 1, 2, 3, ..., 8 (Fig. 9), which are equally likely outcomes. What is the probability that the arrow will point at (i) an odd number (ii) a number greater than 3 (iii) a number less than 9.
All red face cards are removed from a pack of playing cards. The remaining cards were well shuffled and then a card is drawn at random from them. Find the probability that the drawn card is
(i) a red card
(ii) a face card
(iii) a card of clubs
Two dice are thrown together. The probability of getting the same number on both dice is.
Choose the correct alternative answer for the following question.
If n(A) = 2, P(A) = `1/5`, then n(S) = ?
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 king
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 face card and
A number is selected from numbers 1 to 25. The probability that it is prime is
A die is thrown once. The probability of getting a prime number is
Two dice are rolled simultaneously. The probability that they show different faces is
A lot consists of 144 ballpoint pens of which 20 are defective and others good. Tanvy 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. What is the probability that she will not buy it?
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.
All kings, queens and aces are removed from a pack of 52 cards. The remaining cards are well-shuffled and then a card is drawn from it. Find the probability that the drawn card is a red card.
One card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of getting a 6?
A die is thrown once. Find the probability of getting a number which (i) is a prime number (ii) lies between 2 and 6.
in winter, the temperatures at a hill station from Monday to Friday are in A.P. The sum of the temperatures of Monday, Tuesday and Wednesday is 0° C and the sum of the temperatures of Thursday and Friday is 15° C. Find the temperature of each of the five days.
A bag contains a black ball, a red ball and a green ball, all the balls are identical in shape and size. A ball is drawn from the bag without looking into it. What is the probability that the ball drawn is:
(i) a red ball
(ii) not a red ball
(iii) a white ball.
In a single throw of a die, find the probability of getting a number
(i) greater than 2
(ii) less than or equal to 2
(iii) not greater than 2.
In a single throw of a die, find the probability that the number:
(i) will be an even number.
(ii) will be an odd number.
(iii) will not be an even number.
The total number of events of throwing 10 coins simultaneously is ____________.