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timama [110]
3 years ago
8

G=b(a + D2) Solve for A

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
3 0

Answer:

a = \frac{g}{b} - D_{2}

Step-by-step explanation:

Given the literal equation, g = b(a + D_{2})

To solve for a:

Multiply both sides of the equation by \frac{1}{b}:

(\frac{1}{b}) g = (\frac{1}{b}) b (a + D_{2})

\frac{g}{b} = a + D_{2}

Next, subtract D_{2} on both sides of the equation to solve for a:

\frac{g}{b} - D_{2}  = a + D_{2} - D_{2}

\frac{g}{b} - D_{2}  = a

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No.of favourable outcomes/ Total no. of outcomes

Probability of coin selection : [Both coins have equal likelihood of being chosen]

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Probability of head & tail by both coins :

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  • Prob (Tail / Coin A) = 1 - [ P (Head/Coin A) ] = 1 - 1/4 = 3/4
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Probability of getting head by Coin A : Prob (Coin A) & Prob (Head/CoinA)  = 1/2 x 1/4   = 1/8

Probability of getting tail by Coin A : Prob (Coin A) & Prob (Tail/CoinA) = 1/2 x 3/4 = 3/8

Probability of getting head by Coin B : Prob (Coin B) & Prob (Head/CoinB)  = 1/2 x 3/4   = 3/8

Probability of getting tail by Coin B : Prob (Coin B) & Prob (Head/CoinB)  = 1/2 x 1/4   = 1/8

Probability 'The guess [head from coin B, tail from coin A] :

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= 3/8 + 3/8 = 3/4

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