Ques:- Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
Recent Answer : Added by Admin On 2022-09-28 18:37:01:
Out of 10 persons, 4 are graduates; so, (10 – 4) = 6 are under-graduates.
If there is no restriction, any three can be chosen from the ten in (10C3) = 120 ways.
Now, if all three chosen are under-graduates; it can take place in (6C3) = 20 ways.
Therefore, the probability that there will be no graduate among the three chosen = (20 / 120) = (1 / 6).
Therefore, the probability that there will be at least one graduate among the three chosen = {1 – (1 / 6)} = (5 / 6) = 0.8333.
Ques:- To get a parabola if you cut a section of?
Recent Answer : Added by Admin On 2020-05-17 12:01:14:
A parabola is a conic section.
So cut a cone obliquely.
Ques:- A large tanker can be filled by two pipes A and B in 60 and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half?
Recent Answer : Added by Raja On 2022-11-15 16:37:18:
30mins
Let the total time taken to fill the tank be x minutes.
Then, work done by B in half hour + work done by (A+B) in half hour =1.
(
40
1
×
2
x
)+(
60
1
+
40
1
)×
2
x
=1
⇒
80
x
+
48
x
=1
⇒
240
3x+5x
=1
⇒8x=240
⇒x=30 min
Ques:- Solve for x and y: 1/x – 1/y = 1/3, 1/x2 + 1/y2 = 5/9.
Recent Answer : Added by Sabari On 2023-05-12 04:10:16:
5/9
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Ques:- Mr. and Mrs. Aye and Mr. and Mrs. Bee competed in a chess tournament.Of the three games played:a)In only the first game werethe two players married to each other.b)The men won two games and the women won one game.c)The Ayes won more games than the Bees.d)Anyone who lost game did not play the subsequent game.Who did not lose a game?
Recent Answer : Added by Jisha Koshy On 2022-09-15 16:37:07:
Option c
Ques:- After the typist writes 40 letters and addresses 40 envelopes, she inserts the letters randomly into the envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelope’?
Recent Answer : Added by sk On 2022-08-14 16:29:33:
zero – as one letter cant be wrong – atleast two are to be wrong
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Ques:- What will be the next great improvement in search technology?
Recent Answer : Added by Admin On 2020-05-17 12:01:51:
Creating a virtual image of the search topic
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Ques:- There are 3 baskets. one of them have apples, one has oranges only and the other has mixture of apples and oranges. The labels on their baskets always lie. (i.e. if the label says oranges, you are sure that it doesn’t have oranges only,it could be a mixture) The task is to pick one basket and pick only one fruit from it and then correctly label all the three baskets.
Recent Answer : Added by Admin On 2020-05-17 12:01:30:
Take one fruit from box with label mixture. If we see
orange, because the basket lies (it cant have a mixture),
then it has only oranges. The other 2 are labeled apples and
oranges. The one labeled apples,
cannot have oranges inside, cos they are allready been
identified, and because it lies, it cannot have apples either.
So it has a mixture. And we are left with the one labeled
oranges that lies and has apples.
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Ques:- Jarius and Kylar are playing the game. If Jarius wins, then he wins twice as many games as Kylar. If Jarius loses, then Kylar wins as the same number of games that Jarius wins. How many do Jarius and Kylar play before this match?
Recent Answer : Added by sk On 2022-08-14 16:41:57:
5 (3+2)
if he wins then it becomes 4 double than 2
and if looses then opponent becomes 3 which is equal.
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Ques:- Find out the wrong number in the series:
4, 9, 16, 25, 32, 49
A. 16
B. 25
C. 32
D. 49
Recent Answer : Added by Enyonam Dora On 2023-06-12 13:05:40:
Please explain to me why the answer is C. Thank you
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Out of 10 persons, 4 are graduates; so, (10 – 4) = 6 are under-graduates.
If there is no restriction, any three can be chosen from the ten in (10C3) = 120 ways.
Now, if all three chosen are under-graduates; it can take place in (6C3) = 20 ways.
Therefore, the probability that there will be no graduate among the three chosen = (20 / 120) = (1 / 6).
Therefore, the probability that there will be at least one graduate among the three chosen = {1 – (1 / 6)} = (5 / 6) = 0.8333.