Sample space is 50C2 which is equal to 1326. Events of getting 2 kings out of 4 is 4C2 which is equals to 6. So probability of getting two kings is 6/1326 = 1/221.
Workspace
NA
SHSTTON
5
Solv. Corr.
7
Solv. In. Corr.
12
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66 / 72
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A man can hit a target once in 3 shots. If he fires 3 shots in succession, find the probability that he will hit his target.
Probability of hitting the target= (1- probability of not hitting the target)
if he hits once every 3 balls,
probability of hitting = 1/3,
So, probability of not hitting=2/3
probability of not hitting the target all three times= (2/3)* (2/3)* (2/3)
Probability of hitting target = 1 -(2/3)^3 = 19/27
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NA
SHSTTON
16
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11
Solv. In. Corr.
27
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Thangam and Pandiyamma go for an interview for two vacancies. The probability for the selection of Thangam is 1/3 and whereas the probability for the selection of Pandiyamma is 1/5. What is the probability that none of them are selected?
Probability of thangam being selected = 1/3
Probability of thangam not being selected = (1-1/3) = 2/3
Probability of pandiyamma being selected = 1/5
Probability of pandiyamma not being selected = (1-1/5) = 4/5
Probability that both are not selected = 2/3 * 4/5 = 8/15
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NA
SHSTTON
9
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13
Solv. In. Corr.
22
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100 students appeared for two different examinations 60 passed the first, 50 the second and 30 both the examinations. Find the probability that a student selected at random failed in both the examination
First we have to select a bag and then we will draw a ball. Probability of selection of both bags is equal =1/2
Now probability of blue ball taken from first bag = ( 1/2) x (3/11) and probability of blue ball taken from second bag = (1/2) x (4/11) So probability of blue ball = ( 1/2) x (3/11) + (1/2) x (4/11) = 7/22
Workspace
NA
SHSTTON
13
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15
Solv. In. Corr.
28
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In a 3*3 square grid comprising 9 tiles each tile can be painted in red or blue color. When the tile is rotated by 180 degree, there is no difference which can be spotted. How many such possibilities are there?
Grid has to be rotated at 180 degrees. hence,
11=33
12=32
13=31
21=23
22=22
31=13
32=12
33=11
cell 11-33 can be altered in 2 ways (as thr are 2 colours)
cell 12-32 can be altered in 2 ways cell 13-31 can be altered in 2 ways cell 21-23 can be altered in 2 ways and , cell 22 can be altered in 2 ways.
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