Sasi Math (Revised for 1024)

Scroll:Probability >> Addition theorem on probability >> ps (4507)

Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.

In a class, 50% of the students participated in Mathematics-quiz,25% in Science-quiz and 10% in both the quiz programmes. If a student is selected at random from the class, find the probability that the student parriticipated in Mathematics or Science or both quiz programmes.

Answer:_______________

In a class, 60% of the students participated in Mathematics-quiz,30% in Science-quiz and 10% in both the quiz programmes. If a student is selected at random from the class, find the probability that the student parriticipated in Mathematics or Science or both quiz programmes.

Answer:_______________

In a class, 70% of the students participated in Mathematics-quiz,20% in Science-quiz and 15% in both the quiz programmes. If a student is selected at random from the class, find the probability that the student parriticipated in Mathematics or Science or both quiz programmes.

Answer:_______________

In a class, 45% of the students participated in Mathematics-quiz,20% in Science-quiz and 10% in both the quiz programmes. If a student is selected at random from the class, find the probability that the student parriticipated in Mathematics or Science or both quiz programmes.

Answer:_______________

In a class, 50% of the students participated in Mathematics-quiz,25% in Science-quiz and 5% in both the quiz programmes. If a student is selected at random from the class, find the probability that the student parriticipated in Mathematics or Science or both quiz programmes.

Answer:_______________

In a class, 55% of the students participated in Mathematics-quiz,30% in Science-quiz and 10% in both the quiz programmes. If a student is selected at random from the class, find the probability that the student parriticipated in Mathematics or Science or both quiz programmes.

Answer:_______________

In a class, 65% of the students participated in Mathematics-quiz,25% in Science-quiz and 5% in both the quiz programmes. If a student is selected at random from the class, find the probability that the student parriticipated in Mathematics or Science or both quiz programmes.

Answer:_______________

In a class, 40% of the students participated in Mathematics-quiz,25% in Science-quiz and 10% in both the quiz programmes. If a student is selected at random from the class, find the probability that the student parriticipated in Mathematics or Science or both quiz programmes.

Answer:_______________

In a class, 60% of the students participated in Mathematics-quiz,25% in Science-quiz and 20% in both the quiz programmes. If a student is selected at random from the class, find the probability that the student parriticipated in Mathematics or Science or both quiz programmes.

Answer:_______________

10)

In a class, 65% of the students participated in Mathematics-quiz,30% in Science-quiz and 20% in both the quiz programmes. If a student is selected at random from the class, find the probability that the student parriticipated in Mathematics or Science or both quiz programmes.

Answer:_______________

Answer: $\frac{13}{20}$

SOLUTION 1 :

In a class 50% of the students study Mathematics.

P(M) = $\frac{50}{100}$

25% of the students study Science.

P(S) = $\frac{25}{100}$

10% of the students study both Mathematics and Science

P(M∩S) = $\frac{10}{100}$

P(M or S) = P(M∩S).

= P(M) + P(S) - P(M∩S)

= $\frac{50}{100}$ + $\frac{25}{100}$ - $\frac{10}{100}$

= $\frac{65}{100}$

= $\frac{13}{20}$ .

Answer: $\frac{4}{5}$

SOLUTION 1 :

In a class 60% of the students study Mathematics.

P(M) = $\frac{60}{100}$

30% of the students study Science.

P(S) = $\frac{30}{100}$

10% of the students study both Mathematics and Science

P(M∩S) = $\frac{10}{100}$

P(M or S) = P(M∩S).

= P(M) + P(S) - P(M∩S)

= $\frac{60}{100}$ + $\frac{30}{100}$ - $\frac{10}{100}$

= $\frac{80}{100}$

= $\frac{4}{5}$ .

Answer: $\frac{3}{4}$

SOLUTION 1 :

In a class 70% of the students study Mathematics.

P(M) = $\frac{70}{100}$

20% of the students study Science.

P(S) = $\frac{20}{100}$

15% of the students study both Mathematics and Science

P(M∩S) = $\frac{15}{100}$

P(M or S) = P(M∩S).

= P(M) + P(S) - P(M∩S)

= $\frac{70}{100}$ + $\frac{20}{100}$ - $\frac{15}{100}$

= $\frac{75}{100}$

= $\frac{3}{4}$ .

Answer: $\frac{11}{20}$

SOLUTION 1 :

In a class 45% of the students study Mathematics.

P(M) = $\frac{45}{100}$

20% of the students study Science.

P(S) = $\frac{20}{100}$

10% of the students study both Mathematics and Science

P(M∩S) = $\frac{10}{100}$

P(M or S) = P(M∩S).

= P(M) + P(S) - P(M∩S)

= $\frac{45}{100}$ + $\frac{20}{100}$ - $\frac{10}{100}$

= $\frac{55}{100}$

= $\frac{11}{20}$ .

Answer: $\frac{7}{10}$

SOLUTION 1 :

In a class 50% of the students study Mathematics.

P(M) = $\frac{50}{100}$

25% of the students study Science.

P(S) = $\frac{25}{100}$

5% of the students study both Mathematics and Science

P(M∩S) = $\frac{5}{100}$

P(M or S) = P(M∩S).

= P(M) + P(S) - P(M∩S)

= $\frac{50}{100}$ + $\frac{25}{100}$ - $\frac{5}{100}$

= $\frac{70}{100}$

= $\frac{7}{10}$ .

Answer: $\frac{3}{4}$

SOLUTION 1 :

In a class 55% of the students study Mathematics.

P(M) = $\frac{55}{100}$

30% of the students study Science.

P(S) = $\frac{30}{100}$

10% of the students study both Mathematics and Science

P(M∩S) = $\frac{10}{100}$

P(M or S) = P(M∩S).

= P(M) + P(S) - P(M∩S)

= $\frac{55}{100}$ + $\frac{30}{100}$ - $\frac{10}{100}$

= $\frac{75}{100}$

= $\frac{3}{4}$ .

Answer: $\frac{17}{20}$

SOLUTION 1 :

In a class 65% of the students study Mathematics.

P(M) = $\frac{65}{100}$

25% of the students study Science.

P(S) = $\frac{25}{100}$

5% of the students study both Mathematics and Science

P(M∩S) = $\frac{5}{100}$

P(M or S) = P(M∩S).

= P(M) + P(S) - P(M∩S)

= $\frac{65}{100}$ + $\frac{25}{100}$ - $\frac{5}{100}$

= 8 $\frac{5}{100}$

= $\frac{17}{20}$ .

Answer: $\frac{11}{20}$

SOLUTION 1 :

In a class 40% of the students study Mathematics.

P(M) = $\frac{40}{100}$

25% of the students study Science.

P(S) = $\frac{25}{100}$

10% of the students study both Mathematics and Science

P(M∩S) = $\frac{10}{100}$

P(M or S) = P(M∩S).

= P(M) + P(S) - P(M∩S)

= $\frac{40}{100}$ + $\frac{25}{100}$ - $\frac{10}{100}$

= $\frac{55}{100}$

= $\frac{11}{20}$ .

Answer: $\frac{13}{20}$

SOLUTION 1 :

In a class 60% of the students study Mathematics.

P(M) = $\frac{60}{100}$

25% of the students study Science.

P(S) = $\frac{25}{100}$

20% of the students study both Mathematics and Science

P(M∩S) = $\frac{20}{100}$

P(M or S) = P(M∩S).

= P(M) + P(S) - P(M∩S)

= $\frac{60}{100}$ + $\frac{25}{100}$ - $\frac{20}{100}$

= $\frac{65}{100}$

= $\frac{13}{20}$ .

10)

Answer: $\frac{3}{4}$

SOLUTION 1 :

In a class 65% of the students study Mathematics.

P(M) = $\frac{65}{100}$

30% of the students study Science.

P(S) = $\frac{30}{100}$

20% of the students study both Mathematics and Science

P(M∩S) = $\frac{20}{100}$

P(M or S) = P(M∩S).

= P(M) + P(S) - P(M∩S)

= $\frac{65}{100}$ + $\frac{30}{100}$ - $\frac{20}{100}$

= $\frac{75}{100}$

= $\frac{3}{4}$ .