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A balloon vendor has 2 red, 3 blue and 4 green ballooons. He wants to choose one of them at random to give it to pranali.What is the probability of the event that pranali gets,A. a red balloonB. a blue baloonC. a green balloonD. |
Answer» Correct Answer - A::B::C::D Here, there are 2 red balloons `R_(1),R_(2),` 3 blue balloons `B_(1),B_(2),B_(3).` 4 green balloons `G_(1),G_(2),G_(3),G_(4).` `therefore"the sample space"` `S={R_(1),R_(2),B_(1),B_(2),B_(3),G_(1),G_(2),G_(3),G_(4)}" "thereforen(S)=9` (1) Let A be the event that pranali gets a red balloon. `ThenA={R_(1),R_(2)}" "thereforen(A)=2` `P(A)=(n(A))/(n(S))=(2)/(9)` `therefore"the probability that pranali gets a red balloon is" (2)/(9).` (2) Let B be the event that pranali gets a blue balloon. `ThenB={B_(1),B_(2),B_(3)}" "thereforen(B)=3` `P(B)=(n(B))/(n(S))=(3)/(9)=(1)/(3)` `therefore "the probability that pranali gets a blue balloon is" (1)/(3).` Let C be the event that pranali gets a green balloon. `Then C={G_(1),G_(2),G_(3),G_(4)}" "thereforen(C)=4` `P(C)=(n(C))/(n(S))=(4)/(9)` `therefore"the probability that pranali gets a green balloon is"(4)/(9).` |
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