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about to only mathematics

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P {First event does not happen} `=(5)/(5+2)=5/7`
P{Second event does not happen} `=(5)/(5+6)=5/11`
`therefore` {Both th events fail to happen} `5/7xx5/11=25/77`
Therefore, the probability that at least one of the events will happen is
1- P(none of two happens) `=1-(25)/(77)=(52)/(77)`
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CENGAGE-PROBABILITY II-JEE Advanced Previous Year
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  6. A ship is fitted with three engines E(1),E(2),and E(3) the engines fun...

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  8. A signal which can be green or red with probability 4/5 and 1/5 respec...

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  9. Four persons independently solve a certain problem correctly with proa...

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  10. A computer producing factory has only two plants T(1) and T(2). Plant ...

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  11. Let E and F be two independent events. The probability that exactly on...

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  12. A ship is fitted with three engines E(1),E(2),and E(3) the engines fun...

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  13. Let X and Y be two events such that P(X)=1/3, P(X|Y)=1/2and P(Y|X)=2/5...

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  14. A fair die is tossed repeatedly until a 6 is obtained. Let X denote th...

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  15. A fair die is tossed repeatedly until a 6 is obtained. Let X denote th...

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  16. A fair die is tossed repeatedly until a 6 is obtained. Let X denote th...

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