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s1 prob question watch

1. Show for any two events E and F: P(EUF)= P(E) + p(F) = p(ENF)

How do you just magically show that without putting example numbers in?

Given that E and F and independant events, express P(ENF) in terms of P(E) and P(F) and show E' and F are also independant.

IN a college, 60 students are studying one or more of the three subjects Geography, french and English.

Of these 25 do Geo, 26 french, 44 english
10 do geo and french, 15 do french and english, 16 do geo and english

Write the probability the student chosen at radnom from those studying english is also studying french.

Determine whether the events "studying geo" an "studying french" are independant.

A student chosen at random from all 60 students, find the probablity that student does all 3 subjects.

How on earth do you even do that?
2. (Original post by forestgumper)
IN a college, 60 students are studying one or more of the three subjects Geography, french and English.

Of these 25 do Geo, 26 french, 44 english
10 do geo and french, 15 do french and english, 16 do geo and english

Write the probability the student chosen at radnom from those studying english is also studying french.

Determine whether the events "studying geo" an "studying french" are independant.

A student chosen at random from all 60 students, find the probablity that student does all 3 subjects.

How on earth do you even do that?
draw a venn diagram ..If the events are independent then P(A|B)=P(A)
3. Yeh I tried drawing one...didn't really work out too well.

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