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Sure Event

Bayes theorem...

Question

Bayes theorem is applicable when the events are:

have nonzero probabilities

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pairwise disjoint

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exhaustive

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pairwise disjoint, exhaustive and have nonzero probabilities

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Solution

The correct option is D
pairwise disjoint, exhaustive and have nonzero probabilities

This is a prerequisite condition for Baye’s theorem.

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Similar questions

B_{n}

n

P (B_{n}) = \frac{1}{2^{n}}, n \in N .

P (B_{1}) = \frac{1}{2}, P (B_{2}) = \frac{1}{2^{2}}, \dots, P (B_{n}) = \frac{1}{2^{n}} .

B_{1}, B_{2}, B_{3}, \dots, B_{n}

n \to \infty .

A

B_{1}, B_{2}, \dots, B_{n} .

S

{(H, 1), (H, 2), (H, 3), (H, 4), (H, 5), T}

∴

{(H, 1), (H, 2), (H, 5)}

\frac{3}{7}

E

P (E) = \frac{N u m b e r o f s a m p l e p o i n t s f a v o u r a b l e t o t h e e v e n t E}{T o t a l n u m b e r o f s a m p l e p o i n t s i n t h e s a m p l e s p a c e}

\frac{1 - 3 p}{2}, \frac{(1 + 4 p)}{3}, \frac{1 + p}{6}

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