Question

there are 5 blue marbles and 3 green marbles and 5 red marbles in a bag. vamshi without seeing is picked from bag. what's probability that it is

Answer 1

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Probability [Event] = No. of Favourable Outcomes / Total Outcomes

Let's now evaluate the probability of every possible events.

Picking Blue Marbles :

No. of Favourable Outcomes [blue marbles] = 5

Total No. of Outcomes [marbles] = 5 + 3 + 5 = 13

∴ P [picking blue marble] = 5/13

Picking Green Marbles :

No. of Favourable Outcomes [green marbles] = 3

Total No. of Outcomes [marbles] = 5 + 3 + 5 = 13

∴ P [picking green marble] = 3/13

Picking Red Marbles :

No. of Favourable Outcomes [red marbles] = 5

Total No. of Outcomes [marbles] = 5 + 3 + 5 = 13

∴ P [picking red marble] = 5/13

Note : To know probability of picking blue/green marble, red/green marble and blue/red marble, add the respective probabilities of the colours favoured.

Picking Yellow Marble :

No. of Favourable Outcomes [yellow marbles] = 0

Total No. of Outcomes [marbles] = 5 + 3 + 5 = 13

∴ P [picking yellow marble] = 0/13 = 0

Note : Probability of Impossible Event = 0

Picking Blue/Green/Red Marbles :

No of Favourable Outcomes [Blue/Green/Red Marbles] = 5 + 3 + 5 = 13

Total No. of Outcomes = 5 + 3 + 5 = 13

∴ P [picking blue/green/red marble] = 13/13 = 1

Note : Probability of Certainly Possible Event = 1

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