In a group of a hundred and fifty students attending a youth workshop in mombasa, 125 of them are fluent in kiswahili, 135 in english and 95 are fluent in both languages. What is the probability that a student chosen at random is fluent in english or swahili.

The probability that a student chosen at random is fluent in English or Swahili.

P(S∪E) = 1.1

Step-by-step explanation:

Step(i):-

Given total number of students n(T) = 150

Given 125 of them are fluent in Swahili

Let 'S' be the event of fluent in  Swahili language

n(S) = 125

The probability that the fluent in  Swahili language

Let 'E' be the event of fluent in English language

n(E) = 135

The probability that the fluent in  English language

n(E∩S) = 95

The probability that the fluent in  English and Swahili

Step(ii):-

The probability that a student chosen at random is fluent in English or Swahili.

P(S∪E) = P(S) + P(E) - P(S∩E)

           = 0.833+0.9-0.633

           = 1.1

Final -

The probability that a student chosen at random is fluent in English or Swahili.

P(S∪E) = 1.1

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step-by-step explanation:

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