3 years ago

Geologists may choose to lick a mineral to identify it. What mineral is the geologist expecting with this test?

Advanced Placement (AP)

2 answers:

ANTONII [103]3 years ago

8 0

NaCl (halite) or KCI ( sylvite).

Semmy [17]3 years ago

3 0

A Halite well known as salt.

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$P(S_3|A) = \frac{2}{9}$

Explanation:

Given

$P(S1) = 0.3$ $P(S_2) = 0.5$ $P(S_3) = 0.2$

$P(A|S_1) = 0.3$ $P(A|S_2) = 0.1$ $P(A|S_3) = 0.2$

Required

Determine $P(S_3|A)$

Using Bayes' theorem:

$P(S_3|A) = \frac{P(S_3) * P(A|S_3)}{P(S_1) * P(A|S_1) + P(S_2) * P(A|S_2) + P(S_3) * P(A|S_3)}$

So, we have:

$P(S_3|A) = \frac{0.2 * 0.2}{0.3 * 0.3+ 0.5* 0.1 + 0.2 * 0.2}$

$P(S_3|A) = \frac{0.04}{0.18}$

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$P(S_3|A) = \frac{4}{18}$

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