कंपनीचे 60% कर्मचारी महाविद्यालयीन पदवीधर आहेत. यापैकी 10% विक्री विभागात आहेत. महाविद्यालयातून पदवी प्राप्त न केलेल्या कर्मचाऱ्यांपैकी 80% विक्री विभागात आहेत. यादृच्छिकपणे निवडलेला कर्मचारी विक्री विभागात असण्याची संभाव्यता ____ आहे.

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SSC CGL JSO Tier-II, 2018 (Statistics) Official Paper-III (Held On: 14 Sept, 2019)
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  1. 0.46
  2. 0.38
  3. 0.62
  4. 0.54

Answer (Detailed Solution Below)

Option 2 : 0.38
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PYST 1: SSC CGL - General Awareness (Held On : 20 April 2022 Shift 2)
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Detailed Solution

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दिल्याप्रमाणे

P(A) = 0.60

P(B/A) = 0.10

P(B/A)' = 0.80

संकल्पना:

P(A | B) ⋅ P(B) = P(B | A) ⋅ P(A)

गणना:

समजा A ही घटना आहे: कर्मचारी पदवीधर आहेत

समजा B ही घटना आहे: कर्मचारी विक्री विभागात आहेत

⇒ P(B) = P(A).P(B/A) + P(A'). P(B/A)'

⇒ 0.60 x 0.10 + 0.40 x 0.80

∴ यादृच्छिकपणे निवडलेला कर्मचारी विक्रीत असण्याची संभाव्यता 0.38 आहे

Important Points 

संभाव्यता नेहमी 0 ते 1 दरम्यान असते

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