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If E and F are two independent events such that P(E) = 2/3, P(F) = 3/7, then ЁЭСГтБв(ЁЭР╕/╠Е╠Е╠Е╠Е╠ЕЁЭР╣) is equal to ______. - Mathematics

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If E and F are two independent events such that P(E) = `2/3`, P(F) = `3/7`, then `P(E//barF)` is equal to ______.

рд╡рд┐рдХрд▓реНрдк

  • `1/6`

  • `1/2`

  • `2/3`

  • `7/9`

MCQ
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If E and F are two independent events such that P(E) = `2/3`, P(F) = `3/7`, then `P(E//barF)` is equal to `bbunderline(2/3)`.

Explanation:

P(E) = `2/3`, 

P(F) = `3/7`

`P(E//barF) = ((P(E ∩ barF))/(P(barF)))`

= `(P(E) xx P(barF))/(P(barF))`   ...(тИ╡ E and F are independent events)

= `P(E)    ...[(P(E ∩ barF) = P(E).P(barF)]`

= `2/3`

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2024-2025 (March) Delhi Set 1
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