This year the number of children in a colony is three times that of the previous year . What is the percentage increase in the number of children in the colony ?
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A person in your colony has recently been diagnosed with AIDS. People/residents in the colony want him to leave the colony for the fear of spread of A
a) Recently by chance, AIDS is diagonosed in our area. It is fatal disease. We should create awareness among the people to combat such situation and not to isolate the...
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A die is thrown 7 times. What is the chance that an odd number turns up (i) exactly 4 times (ii) at least 4 times
Probability of success is 3/6=1/2. `thereforep=1/2andq=1/2` (i) For exactly 4 successes, the required probability is `""^(7)C_(4)((1)/(2))^(4)((1)/(2))^(3)=35/128` (ii) For at least 4 successes, the required probability is `""^(7)C_(4)((1)/(4))^(4)((1)/(2))^(3)+""^(7)C_(5)((1)/(2))^(5)((1)/(2))^(2)` `+""^(7)C_(6)((1)/(2))^(6)((1)/(2))^(1)+""^(7)C_(7)((1)/(2))^(7)` `=35/128+21/128+7/128+1/128=64/128=1/2`
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A fair coin is tossed `n` times. if the probability that head occurs 6 times is equal to the probability that head occurs 8 times, then find the value
Correct Answer - `n=14` According to question `""^(n)C_(6)((1)/(2))^(6)((1)/(2))^(n-6)=""^(n)C_(8)((1)/(2))^(8)((1)/(2))^(n-8)` `or ""^(n)C_(6)((1)/(2))^(n)=""^(n)C_(8)((1)/(2))^(n)` `or""^(n)C_(6)=""^(n)C_(8)=""^(n)C_(n-8)` `implies6=n-8orn=14`
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A die is thrown a fixed number of times. If probability of getting even number 3 times is same as the probability of getting even number 4 times, then
Correct Answer - D According to the givn condition, `""^(n)C_(3)((1)/(2))^(n)=""^(n)C_(4)((1)/(2))^(n),` where n is the number of times die is thrown. `therefore""^(n)C_(3)=""^(n)C_(4)impliesn=7` Thus, the required probability is `=""^(7)C_(1)((1)/(2))^(7)=(7)/(2^(7))=(7)/(128)`
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A coin is tossed `2n` times. The chance that the number of times one gets head is not equal to the number of times one gets tails is `((2n !))/((n !)^
Correct Answer - C The required probability is 1- probability of getting equal number of heads and tails `=1-""^(2n)C_(n)((1)/(2))^(n)((1)/(2))^(2n-n)` `=1-((2n)!)/((n!)^(2))xx(1)/(4^(n))`
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Three coins are tossed 100 times, and three heads one head occurred 14 times and head did not occur 23 times. Find the probability of getting more tha
Correct Answer - `(63)/(100)`
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Net Attendance Rate is the out of total number of children in age group ………………. the percentage children attending school.
Correct option is D) 6 – 17
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Arun bought a car for Rs 3,50,000. The next year, the price went upto Rs 3,70,000. What was the Percentage of price increase?
Correct Answer - `5(5)/(7)%`
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A coin is tossed 500 times and we get heads : 285 times and tails : 215 times When a coin is tossed at random , what is probability of getting (i) a h
Correct Answer - (i) 0.57 (ii) 0.43
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Two coins are tossed 400 times and we get two heads : 112 times, one head , 160 times , 0 head , 128 times . When two coins are tossed at random , wha
Correct Answer - (i) 0.28 (ii) 0.4 (iii) 0.32
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