एक कंपनी के 60% कर्मचारी कॉलेज स्नातक हैं। इनमें से 10% विक्रय में हैं। कॉलेज से स्नातक ना होने वाले कर्मचारियों में से 80% विक्रय में हैं। यादृच्छिक रूप से चयनित कर्मचारी के विक्रय में होने की प्रायिकता कितनी है?

This question was previously asked in
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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Detailed Solution

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दिया गया है:

P(A) = 0.60

P(B/A) = 0.10 

P(B/A)’ = 0.80

अवधारणा:

P(A | B) ⋅ P(B) = P(B | A) ⋅ P(A) 

गणना:

माना A घटना है : कर्मचारी स्नातक हैं।

माना B घटना है : कर्मचारी विक्रय में हैं।

⇒ P(B) = P(A).P(B/A) + P(A’). P(B/A)’

⇒ 0.60 × 0.10 + 0.40 ×  0.80 

∴ यादृच्छिक रूप से चयनित कर्मचारी के विक्रय में होने की प्रायिकता 0.38 है।

Important Points

प्रायिकता हमेशा 0 से 1 के बीच होती है।

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