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Ms Beena, class teacher of 12th std, wants to send teams (based on performance) of 3 students each to district, state, national and international competition in mathematics. Till now, every student of the class has appeared in 100 school level tests. The students had following distribution of marks in the tests, in terms of average and number of time a student scored cent percent marks.

Student

Average

No. of times a student’s scores cent-percent

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

70

60

65

70

65

65

65

60

65

60

70

65

70

60

65

7

15

8

1

6

10

4

12

3

8

1

6

2

20

5

  Ms Beena has carefully studied chances of her school winning each competitions. Based on in depth calculations, she realised that her school is quite likely to win district level competition but has low chances of winning the international competition. She listed down the following probabilities of wins for different competitions, prize was highest for international competition and lowest for district level, competition (in that order)

Competition

District

State

National

International

Probability of win

0.95

0.6

0.1

0.05

   All the students are studying in the school for the last 12 yr. she wanted to select the best team for all four competitions(Ms Beena had no other information to select students)

Ms Beena has to select the team for national competition after she has selected the team for international competition after she has selected the team for international competition. A student selected for international competition cannot be a part of national competition.

Which is the best team for the national competition?

(a)

1, 7, 4

(b)

8, 9, 10

(c)

2, 8, 14

(d)

3, 6, 1



Question ID - 53358 | SaraNextGen Top Answer

Ms Beena, class teacher of 12th std, wants to send teams (based on performance) of 3 students each to district, state, national and international competition in mathematics. Till now, every student of the class has appeared in 100 school level tests. The students had following distribution of marks in the tests, in terms of average and number of time a student scored cent percent marks.

Student

Average

No. of times a student’s scores cent-percent

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

70

60

65

70

65

65

65

60

65

60

70

65

70

60

65

7

15

8

1

6

10

4

12

3

8

1

6

2

20

5

  Ms Beena has carefully studied chances of her school winning each competitions. Based on in depth calculations, she realised that her school is quite likely to win district level competition but has low chances of winning the international competition. She listed down the following probabilities of wins for different competitions, prize was highest for international competition and lowest for district level, competition (in that order)

Competition

District

State

National

International

Probability of win

0.95

0.6

0.1

0.05

   All the students are studying in the school for the last 12 yr. she wanted to select the best team for all four competitions(Ms Beena had no other information to select students)

Ms Beena has to select the team for national competition after she has selected the team for international competition after she has selected the team for international competition. A student selected for international competition cannot be a part of national competition.

Which is the best team for the national competition?

(a)

1, 7, 4

(b)

8, 9, 10

(c)

2, 8, 14

(d)

3, 6, 1

1 Answer
127 votes
Answer Key / Explanation : (d) -

Team for national competition contains 3, 6 and 1 students.

127 votes


127