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Two coins are tossed simultaneously. Find the probability of getting
(i) atleast one head
(ii) both heads.
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(H, H), (H, T), (T, T), (T, H)
(i) P(exactly one head)
(ii) Both heads
1500 families with 2 children were selected and following data is recorded.
Compute the probability of a family chosen at random having :
(i) at least 1 girl child
(ii) not more than 1 girl child.
(iii) no girl child.
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(i) P(at least 1 girl child)
(ii) P(not more than 1 girl child)
(iii) P(no girl child)
100 cards marked from 2 to 101 are placed in a box and mixed thoroughly. One card is drawn at random from the box. Find the probability that number on the card is
(i) an even number
(ii) a number which is a perfect square
(iii) a prime number less than 20
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(i) P(getting an even number)
(ii) P(getting a perfect square)
(iii) P(prime number less than 20)
It is known that a box of 550 bulbs contains 22 defective bulbs. One bulb is taken out at random from the box. Find the probability of getting :
(i) defective bulb
(ii) good bulb.
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(i) (defective bulb)
(ii) P(good bulb)
Fifty seeds were selected at random from each of 5 bags of seeds and were kept under standardized conditions favourable to germination. After 20 days, the number of seeds which had germinated in each collection were counted and recorded as follows :
What is the probability of germination of :
(i) more than 40 seeds in a bag?
(ii) 49 seeds in a bag?
(iii) more than 35 seeds in a bag?
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(i) P(more than 40 seeds)
(ii) P(49 seeds)
(iii) P(more than 35 seeds)
Three coins are tossed simultaneously 200 times with the following frequencies of different outcomes.
From the above, compute the probability of the following :
(i) at least 2 heads
(ii) 3 tails
(iii) at most one head
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(i) P(at least 2 heads)
(ii) P(3 tails)
(iii) P(at most one head)
A bag contains cards numbered from 1 to 25. A card is drawn at random from the bag. Find the probability that the selected card bears number which is a multiple of 2 or 3.
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There are 16 numbers which is a multiple of 2 or 3 (2, 3, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24)
The following table shows the performance of two sections of students in a mathematics test of 100 marks :
Find the probability that a student obtained :
(i) less than 20% in the mathematics test.
(ii) marks 60 or above
(iii) marks more than or equal to 40 but less than 60.
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(i)
(ii)
(iii)
The following frequency distribution table gives the weights of 38 students of a class.
Find the probability that the weight of a student is
(i) more than or equal to 45 kg
(ii) less than 30 kg
(iii) more than or equal to 30 kg but less than 60 kg
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(i)
(ii)
(iii) P(more than or equal to 30 but less than 60 kg)
Three coins are tossed simultaneously 200 times with the following frequencies of different outcomes :
From the above data, find the probability of getting (i) 2 heads, (ii) 2 tails, (iii) 3 tails
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(i) P(2 heads)
(ii) P(2 tails)
(iii) P(3 tails)
A die is thrown 400 times. The frequency of outcomes of the events are given as under.
Find the probability of :
(i) occurrence of an even number.
(ii) occurrence of a number less than 2.
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(i) P(occurrence of an even number)
(ii) P(occurrence of a number less than 2)
Marks obtained by 2500 students are shown in the following table :
A student is selected at random. Find the probability that :
(a) he scores more than 80% marks.
(b) he scores less than 60% marks.
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(a) P(more than 50% marks)
(b) P(less than 60%)
Three coins are tossed simultaneously 150 times with following frequency of different outcomes :
Compute the probability of getting : (i) two heads (ii) at least two heads
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(i) P(two heads)
(ii) P(at least two heads)
In a survey of 2500 families with 2 children, selected randomly, the following data were recorded :
Calculate the probability of a family, chosen at random has :
(i) 2 girls
(ii) 1 girl
(iii) no girl
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(i) P(2 girls)
(ii) P(1 girl)
(iii) P(no girl)
The following data shows the blood groups of 40 students of a class.
A student is selected at random from the class. Find the probability that the student :
(i) has blood group A
(ii) has blood group O
(iii) does not have blood group AB.
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(i) P(blood group A)
(ii) P(blood group O)
(iii) P(does not have blood group AB)
Following distribution gives the weight of 38 students of a class.
Find the probability that weight of a student in the class is (i) at most 60 kg. (ii) at least 36 kg.(iii) not more than 50 kg.
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(i) P(at most 60 kg)
(ii) P(at least 36 kg)
(iii) P(not more than 50 kg)
Three coins are tossed simultaneously 1000 times with the following frequencies of different out comes:
Find the probability of occurrence of each of these events.
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(i) P(2 heads)
(ii) P(1 head)
(iii) P(no head)
The weekly pocket expenses of students are given in the following table :
Find the probability that the weekly pocket money of a student is :
(a) Rs 159
(b) more than Rs 159
(c) less than Rs 159
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(a) P(₹ 159)
(b) P(> 159)
(c) P(< 159)
A bag contains 12 balls out of which x are white. If one ball is taken out from the bag, find the probability of getting a white ball. If 6 more white balls are added to the bag and the probability now for getting a white ball is double the previous one, find the value of x.
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Total balls
Total white balls
P(getting a white ball)
If 6 more balls are put, total balls
The ages (in years) of workers of a factory are as follows :
If a worker is selected at random, find the probability that the worker is :
(i) 30 years or more
(ii) below 50 years
(iii) having age from 10–19 years.
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(i) P(30 years or more)
(ii) P(below 50 years)
(iii) P(having age 10 – 19)