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Probability of an Event "A" to Happen

32. The prob ...

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32. The prob that a student passes in mathematics,physics and chemistry are m,p and c . Of these subjects the student has 75% chance of passing in at least one subject,50% chance of passing in at least 2 and 40% chance of passing in exactly2. Which is true?

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Q. The probabilities that a student passes in mathematics, physics and chemistry are

m, p

c

respectively. Of these subjects, a student has a

75

chance of passing in at least one, a

50

chance of passing in at least two, and a

40

chance of passing in exactly two subjects. Which of the following relations are true?

Q. The probabilities that a student passes in mathematics, physics and chemistry are

m, p

c

respectively. Of these subjects, a student has a

75

% chance of passing in at-least one, a

50

% chance of passing in at-least two, and a

40

% chance of passing in exactly two subjects. Which of the following relations are true ?

Q. The probabilities that a student passes in Mathematics, Physics and Chemistry are m, p and c respectively. Of these subjects, the student has 75% chance of passing in at least one, a 50% chance of passing in at least two and a 40% chance of passing in exactly two. Following relations are drawn in m, p, c

I . p + m + c = \frac{27}{20} I I . p + m + c = \frac{13}{20} I I I . (p) \times (m) \times (c) = \frac{1}{10}

Q. The probabilities that a student passes in Mathematics, Physics and Chemistry are m, p and c, respectively. Of these subjects, the students has a 75% chance of passing in atleast one, a 50% chance of passing in atleast two and a 40% chance of passing in exactly two. Which of the following relations are true?

Q. Out of 180 students in a class, 7 students failed in all the three subjects viz, Physics, Chemistry, Maths. Only 144 students pass in only one subject and 21 students pass in only two subjects.
(a) How many students passed in all the three subjects?
(b) How many students passed in at least two subjects?
(c) How many students passed in at most two subjects but at least in one subject?

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