A survey of $250$ boys in a school was conducted and it was found that $110$ like coffee and $140$ do not like coffee. Out of these boys, one boy is selected at random. What is the probability that the selected boy: (i) likes coffee or (ii) does not like coffee?

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Solution

Given, total number of boys $= 250$
Number of boys do like coffee $(E) = 110$
Number of boys do not like coffee $(F) = 140$
Step 1: Find the probability of boys who like coffee.
we know that
Probability of favorable outcome $P = \frac{N u m b e r o f f a v o r a b l e o u t c o m e}{T o t a l n u m b e r o f b o y s}$
Probability of selecting a boy who likes coffee $P (E) = \frac{N u m b e r o f b o y s d o l i k e c o f f e e (E)}{T o t a l n u m b e r o f b o y s} = \frac{110}{250} = 0.44$
Step 2: Find the probability of boys who does not like coffee.
Probability of selecting a boy who doesn't like coffee $P (F) = \frac{N u m b e r o f b o y s d o n o t l i k e c o f f e e (F)}{T o t a l n u m b e r o f b o y s} = \frac{140}{250} = 0.56$
Hence, the probability that the selected boy: (i) likes coffee is $0.44$ (ii) does not like coffee is $0.56$ .

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A survey of 250 boys in a school was conducted and it was found that 110 like coffee and 140 do not like coffee. Out of these boys, one boy is selected at random. What is the probability that the selected boy: (i) likes coffee or (ii) does not like coffee?

A survey of $250$ boys in a school was conducted and it was found that $110$ like coffee and $140$ do not like coffee. Out of these boys, one boy is selected at random. What is the probability that the selected boy: (i) likes coffee or (ii) does not like coffee?