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2 years ago

Simplify the expression 0.032 ÷ (8 × 10^-2)

Mathematics

1 answer:

Allisa [31]2 years ago

3 0

$\frac{0.032}{8\times10^{-2}} = \frac{0.032}{0.08} = 0.4$

Your answer is 0.4

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The simplified expression is $(\frac{4}{663})$

Step-by-step explanation:

Here, the total number of cards in a given deck = 52

let E : Event of drawing a first card which is King

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So, $P(E) = \frac{\textrm{The total number of king}}{\textrm{The total number of cards}}$ = $\frac{4}{52} = (\frac{1}{13} )$

Now, as the picked card is NOT REPLACED,

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Now, the combined probability of picking first card as king and second as queen = P(E) x P(K) = $(\frac{1}{13}) \times(\frac{4}{51}) = (\frac{4}{663} )$

Hence, the simplified expression is $(\frac{4}{663})$

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