Advertisements
Advertisements
प्रश्न
Two dice are thrown simultaneously. Find the probability of getting: an even number as the sum.
उत्तर
n(s) = 36 i.e.
(1,1)(1,2)(1,3)(1,4)(1,5)(1,6)
(2,1)(2,2)(2,3)(2,4)(2,5)(2,6)
(3,1)(3,2)(3,3)(3,4)(3,5)(3,6)
(4,1)(4,2)(4,3)(4,4)(4,5)(4,6)
(5,1)(5,2)(5,3)(5,4)(5,5)(5,6)
(6,1)(6,2)(6,3)(6,4)(6,5)(6,6)
Event = { even number as the sum }
i.e., = {(1, 1), (1, 3), (3, 1), (2, 2), (1, 5), (5, 1), (2, 4), (4, 2), (3, 3), (2, 6), (6, 2), (4, 4), (5, 3), (3, 5), (5, 5), (6, 4), (4, 6), and (6, 6)}
n( E) = 18
P(E) = ?
∴ P(E) = `"n(E)"/"n(S)" = 18/36 = 1/2`
APPEARS IN
संबंधित प्रश्न
Following experiment have equally likely outcomes? Explain.
A driver attempts to start a car. The car starts or does not start.
A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball is double that of a red ball, determine the number of blue balls in the bag
A game of chance consists of spinning an arrow which is equally likely to come to rest
pointing to one of the number, 1, 2, 3, ..., 12 as shown in Fig. below. What is the
probability that it will point to a number which is multiple of 3?
In a class, there are 18 girls and 16 boys. The class teacher wants to choose one pupil for class monitor. What she does, she writes the name of each pupil on a card and puts them into a basket and mixes thoroughly. A child is asked to pick one card from the basket. What is the probability that the name written on the card is the name of a boy?
A bag contains 100 identical marble stones which are numbered 1 to 100. If one stone is drawn at random from the bag, find the probability that it bears a number divisible by 4.
Two dice (each bearing numbers 1 to 6) are rolled together. Find the probability that the sum of the numbers on the upper-most faces of two dice is more than 10.
Three coins are tossed together. Write all the possible outcomes. Now, find the probability of getting at most two heads.
Cards marked with numbers 1, 2, 3 ......... 20 are well shuffled and a card is drawn at random. What is the probability that the number on the card is a perfect square?
A die is thrown 450 times and frequencies of the outcomes 1,2,3,4,5,6 were noted as given in the following table
| outcomes | 1 | 2 | 3 | 4 | 5 | 6 |
| Frequency | 73 | 70 | 74 | 75 | 80 | 78 |
(iii) a number > 4
Apoorv throws two dice once and computes the product of the numbers appearing on the dice. Peehu throws one die and squares the number that appears on it. Who has the better chance of getting the number 36? Why?
