একটি কোম্পানির 60% কর্মচারী কলেজ স্নাতক। এর মধ্যে 10% সেলসে আছে। কলেজ থেকে স্নাতক না হওয়া কর্মচারীদের মধ্যে 80% সেলসে রয়েছে। যদৃচ্ছভাবে নির্বাচিত একজন কর্মচারীর বিক্রির সম্ভাবনা হল:

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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প্রদত্ত 

P(A) = 0.60

P(B/A) = 0.10

P(B/A)' = 0.80

ধারণা:

P(A | B) ⋅ P(B) = P(B | A) ⋅ P(A)

গণনা:

A কে ঘটনা হতে দিন: কর্মচারীরা স্নাতক

B ঘটে হতে দিন: কর্মচারী সেলসে রয়েছে 

⇒ P(B) = P(A).P(B/A) + P(A')। P(B/A)'

⇒ 0.60 x 0.10 + 0.40 x 0.80

∴ যদৃচ্ছভাবে নির্বাচিত একজন কর্মচারীর বিক্রির সম্ভাবনা 0.38

Important Points

সম্ভাবনা সবসময় 0 থেকে 1 এর মধ্যে থাকে।

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