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Addition Theorem of Probability | PadhAiPro

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CASE_STUDIESAddition Theorem of Probability3 sub-questions

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Check whether the following probabilities P(A) and P(B) are consistently defined (i) P(A) = 0.5, P(B) = 0.7, P(A ∩ B) = 0.6 (ii) P(A) = 0.5, P(B) = 0.4, P(A ∪ B) = 0.8

CASE_STUDIESAddition Theorem of Probability

Fill in the blanks in following table: | P(A) | P(B) | P(A ∩ B) | P(A ∪ B) | |---|---|---|---| | 1/3 | 1/5 | 1/15 | . . . | | 0.35 | . . . | 0.25 | 0.6 | | 0.5 | 0.35 | . . . | 0.7 |

TextAddition Theorem of Probability

If E and F are events such that P(E) = 1/4, P(F) = 1/2 and P(E and F) = 1/8, find (i) P(E or F), (ii) P(not E and not F).

CASE_STUDIESAddition Theorem of Probability

A and B are events such that P(A) = 0.42, P(B) = 0.48 and P(A and B) = 0.16. Determine (i) P(not A), (ii) P(not B) and (iii) P(A or B)

CASE_STUDIESAddition Theorem of Probability

In Class XI of a school 40% of the students study Mathematics and 30% study Biology. 10% of the class study both Mathematics and Biology. If a student is selected at random from the class, find the probability that he will be studying Mathematics or Biology.

TextAddition Theorem of Probability

In an entrance test that is graded on the basis of two examinations, the probability of a randomly chosen student passing the first examination is 0.8 and the probability of passing the second examination is 0.7. The probability of passing atleast one of them is 0.95. What is the probability of passing both?

TextAddition Theorem of Probability

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