Advertisements
Advertisements
प्रश्न
Two dice are thrown simultaneously. Find the probability of getting: a doublet of even number.
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 = { getting a doublet of even number }
Event = {(2, 2), (4,4), (6, 6)}
n(E) = 3
P(E) = ?
∴ P(E) = `"n(E)"/"n(S)" = 3/36 = 1/12`.
APPEARS IN
संबंधित प्रश्न
Are the arguments in the following sentence correct or not correct? Give a reason for your answer.
If two coins are tossed simultaneously there are three possible outcomes, two heads, two tails or one of each. Therefore, for each of these outcomes, the probability is `1/3.`
What is the probability that a leap year has 53 Sundays and 53 Mondays?
A bag contains 3 red balls, 5 black balls and 4 white balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is Not red
There are 30 cards, of same size, in a bag on which numbers 1 to 30 are written. One card is taken out of the bag at random. Find the probability that the number on the selected card is not divisible by 3.
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 4 or 5.
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
A single die is rolled. The probability of getting 1 or an even number is ____________.
Two fair dice are rolled simultaneously. The probability that 5 will come up at least once is ______.
If I toss a coin 3 times and get head each time, should I expect a tail to have a higher chance in the 4th toss? Give reason in support of your answer.
In a game, the entry fee is Rs 5. The game consists of a tossing a coin 3 times. If one or two heads show, Sweta gets her entry fee back. If she throws 3 heads, she receives double the entry fees. Otherwise she will lose. For tossing a coin three times, find the probability that she gets double entry fee.