A bag contains 10 white and 15 black balls. Two balls are drawn in succession. What is the probability that first is white and second is black?

Shohan

5 views

2025-01-04 04:42

1 Answers

Shohan

$L e t, p r o b a b i l i t y o f w h i t e b a l l s b e w & B l a c k b a l l s b e b .$

$∴ p (w) = \frac{N u m b e r o f w h i t e b a l l s}{T o t a l b a l l} = \frac{10}{10 + 15} = \frac{10}{25} = \frac{2}{5} ∴ p (w) = \frac{N u m b e r o f w h i t e b a l l s}{T o t a l b a l l} = \frac{15}{10 + 15 - 1} = \frac{15}{24} = \frac{5}{8} ∴ R e q u i r e d p r o b a b i l i t y = \frac{2}{5} \times \frac{5}{8} = \frac{1}{4}$

5 views Answered 2024-12-14 13:31

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