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Ainat [17]
3 years ago
15

3/10 minus what equals 2/5?

Mathematics
2 answers:
Jlenok [28]3 years ago
3 0
7/10-3/10=2/5
3/10+1/10=2/5
netineya [11]3 years ago
3 0
3/10-x=2/5
3-10x=4
-10x=1
x=-1/10
So it is -1/10
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The prior probabilities for events A1 and A2 are P(A1) = 0.20 and P(A2) = 0.80. It is also known that P(A1 ∩ A2) = 0. Suppose P(
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(a) A_1 and A_2 are indeed mutually-exclusive.

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Step-by-step explanation:

<h3>(a)</h3>

P(A_1 \; \cap \; A_2) = 0 means that it is impossible for events A_1 and A_2 to happen at the same time. Therefore, event A_1 and A_2 are mutually-exclusive.

<h3>(b)</h3>

By the definition of conditional probability:

\displaystyle P(B \; | \; A_1) = \frac{P(B \; \cap \; A_1)}{P(B)} = \frac{P(A_1 \; \cap \; B)}{P(B)}.

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<h3>(c)</h3>

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<h3>(d)</h3>

By Bayes' Theorem:

\begin{aligned} P(A_1 \; |\; B) &= \frac{P(B \; | \; A_1) \cdot P(A_1)}{P(B)} \\ &= \frac{0.25 \times 0.20}{9/100} = \frac{0.05 \times 100}{9} = \frac{5}{9}\end{aligned}.

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