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Range and Sum of Probabilities

What is the v...

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What is the value of P (Event A occurs) + P (Event A does not occur)?

A

0.0

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B

1

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C

1/2

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D

insufficient data

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Q. What is the value of P(Event occurs) + P(Event does not occur)?

Q. The value of P(Event occurs) + P(Event does not occur) = 0

Q. For three events

A, B

C, P

(exactly one of the events

A

=

P (exactly one of the events B and C occur)

=

P (exactly one of the events C or A occurs)

=

p and P (all the three events occur simultaneously)

= p^{2}

0 < p < 1 / 2

. If the probability of at least one of the three events

A, B

C

11 / 18

p

Q. In an trials of a random experiment if an event A occurs m times, event B occurs p times and event c occurs r times, s.t m+p+r = n then find the value of:
(a) p (A)
(b) p (B)
(c) p (C)
(d) p (A)+ p (B)+p(C)
(e) p (not c)
(f) p (neither A nor C)
(g) p (bot B and C)

Q. Consider four independent trials in which an event

A

occurs with probability

\frac{1}{3}

B

will occur with probability

1

A

occurs at least twice, it can not occur if the event

A

does not occur and it occurs with a probability

\frac{1}{2}

A

occurs once. If the probability

p

of the occurrence of event

B

can be expressed as

\frac{m}{n},

m, n \in N,

then the least value of

m + n

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