a bag contains 6 white and 4 red . If a person draws 2 balls and receives rs. 10 and rs. 20 for a white and red balls respectively , then his expected amount is
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31
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NavjotBhullar1:
i need the amount earned by a person
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18
Answer:
The total amount will be Rs. 28
Step-by-step explanation:
Hey Mate,
Given ,
6 White and 4 Red.
Draws 2 Balls.
Probability of draws Both white balls
=> ( ⁶ C ₂ / ¹⁰ C ₂ )
=> ( 15/45 )
=> ( 2/ 3 )
Probability of draws Both Red balls
=> ( ⁴ C ₂ / ¹⁰ C ₂ )
=> ( 6/ 45 )
Probability of draws One white and One Red ball.
=> ( ⁶ C ₁ × ⁴ C ₁ / ¹⁰ C ₂ )
=> ( 24/ 45 )
So,
The total amount will be
=> { (2/ 3) × 20 } × { (4/ 45) × 40 } × { (24/ 45) × 30 }
=> Rs. 28
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