What is the probability of getting 53 Sundays in a leap year and in a non leap year?
Q7. Two dice are thrown simultaneously 500 times. Each time the sum of two numbers appearing on their tops is noted and recorded as given ahead table: Sum 2 3 4 5 6 7 8 9 10 11 12 Frequency 14 30 42 55 72 75 70 53 46 28 15 If the dice are thrown once more, What is the probability of getting a sum i) 3? ii) More than 10? iii) Less than or equal to 5? iv) Between 8 and 12?
Two dice is thrown simultaneously . The probability of getting a multiple of 2 on one die and a multiple of 3 on the other is .
(a) 5/36 (b)5/12 (c)11/36 (d) 1/12
Three coins are tossed simultaneously 200 times with the following frequencies of different outcomes:
3 heads 23
2 heads 72
1 head 77
no heads 28
find the probability of getting
( i) 3 heads
(ii) at least 2 heads
(iii) two heads and one tail
3 of the 6 vertices of a regular hexagon are chosen at random find the probability that the triangle with three vertices is equilateral.
1500 families with 2 children were selected randomly and the following data were recorded:
number of girls in a family: 0 1 2
frequency: 211 814 475
if a family is chosen at random,compute the probability that it has:
1. no girl.
2. 1 girl.
3. 2 girls.
4. at most one girl.
5. more girls than boys.
chech whether 7/6 can be an empirical probability or not. give reasons.
Eleven bags of wheat flour, each marked 5 kg, actually contained the following weights of flour (in kg):
4.97 5.05 5.08 5.03 5.00 5.06 5.08 4.98 5.04 5.07 5.00
Find the probability that any of these bags chosen at random contains more than 5 kg of flour.
Lead spheres of diameter 6 cm each are dropped into a cylinderical beaker containing some water and are fully submerged. If the diameter of the beaker is 18 cm and water level rises up to 40 cm, find the number of lead spheres dropped into water.
A bag contains 4 white balls and some red balls. If the probability of drawing a white ball from the bag is 2/5, find the number of red balls in the bag.
17 cards numbered 1,2,3........17 are put in a box and mixed thoroughly. One person draws as ard from the box. Find the probability that a number on the card is (i) odd (ii) a prime
which of the following cannot br empirical probability of an event?
a] 4/5
b] 1
c] 0
d] 5/4
A box contains 50 bolts and 150 nuts. On checking the box ,it was found that half of the bolts and half of the nuts are rusted. If one item is chosen at random, find the probability that it is rusted.
(m/n)x^2 + n/m = 1 - 2x
What is the probability of getting 53 Sundays in a leap year and in a non leap year?
Q7. Two dice are thrown simultaneously 500 times. Each time the sum of two numbers appearing on their tops is noted and recorded as given ahead table: Sum 2 3 4 5 6 7 8 9 10 11 12 Frequency 14 30 42 55 72 75 70 53 46 28 15 If the dice are thrown once more, What is the probability of getting a sum i) 3? ii) More than 10? iii) Less than or equal to 5? iv) Between 8 and 12?
Two dice is thrown simultaneously . The probability of getting a multiple of 2 on one die and a multiple of 3 on the other is .
(a) 5/36 (b)5/12 (c)11/36 (d) 1/12
Three coins are tossed simultaneously 200 times with the following frequencies of different outcomes:
3 heads 23
2 heads 72
1 head 77
no heads 28
find the probability of getting
( i) 3 heads
(ii) at least 2 heads
(iii) two heads and one tail
3 of the 6 vertices of a regular hexagon are chosen at random find the probability that the triangle with three vertices is equilateral.
1500 families with 2 children were selected randomly and the following data were recorded:
number of girls in a family: 0 1 2
frequency: 211 814 475
if a family is chosen at random,compute the probability that it has:
1. no girl.
2. 1 girl.
3. 2 girls.
4. at most one girl.
5. more girls than boys.
chech whether 7/6 can be an empirical probability or not. give reasons.
(i) An even number as the sum.
(ii) The sum as a prime number.
(iii) A total of at least 10.
(iv) A doublet of even number.
Eleven bags of wheat flour, each marked 5 kg, actually contained the following weights of flour (in kg):
4.97 5.05 5.08 5.03 5.00 5.06 5.08 4.98 5.04 5.07 5.00
Find the probability that any of these bags chosen at random contains more than 5 kg of flour.
Lead spheres of diameter 6 cm each are dropped into a cylinderical beaker containing some water and are fully submerged. If the diameter of the beaker is 18 cm and water level rises up to 40 cm, find the number of lead spheres dropped into water.
A bag contains 4 white balls and some red balls. If the probability of drawing a white ball from the bag is 2/5, find the number of red balls in the bag.
17 cards numbered 1,2,3........17 are put in a box and mixed thoroughly. One person draws as ard from the box. Find the probability that a number on the card is (i) odd (ii) a prime
which of the following cannot br empirical probability of an event?
a] 4/5
b] 1
c] 0
d] 5/4
A box contains 50 bolts and 150 nuts. On checking the box ,it was found that half of the bolts and half of the nuts are rusted. If one item is chosen at random, find the probability that it is rusted.
(m/n)x^2 + n/m = 1 - 2x