g. A ball is drawn from a box containing $$4$$ red balls, $$7$$ green balls and $$8$$ blue balls. Find the probability that the ball drawn is i) red iii) blue ii) red or green iv) not blue Determine whether events "drawing a red ball" and "drawing a blue ball" are mutually exclusive?

Question

g. A ball is drawn from a box containing $$4$$ red balls, $$7$$ green balls and $$8$$ blue balls. Find the probability that the ball drawn is i) red                     iii) blue ii) red or green      iv) not blue Determine whether events "drawing a red ball" and "drawing a blue ball" are mutually exclusive?

Lewis Allan · Accepted Answer

i) $$P= \frac { 4} { 4+ 7+ 8} = \frac { 4} { 19} $$ii) $$P= \frac { 8} { 4+ 7+ 8} = \frac { 8} { 19} $$iii) $$P= \frac { 4+ 7} { 4+ 7+ 8} = \frac { 11} { 19} $$iv) $$P= 1- \frac { 8} { 4+ 7+ 8} = \frac { 11} { 19} $$A={drawing a red ball}B={drawing a blue ball}$$A\cap B= \emptyset $$So, they are mutually exclusive

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g. A ball is drawn from a box containing \(4\) red balls, \(7\) green balls and \(8\) blue balls. Find the probability that the ball drawn is i) red iii) blue ii) red or green iv) not blue Determine whether events "drawing a red ball" and "drawing a blue ball" are mutually exclusive?

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