Event (E) Value for P (E)

A $- 0.00001$

B $0.5$

C $1.001$

D $0$

E $1$

F $20 %$

Events and their associated probabilities are included in the table above. Which event(s) has(have) a valid probability?

A, B, F

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B, C, E

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B, D, E, F

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A, C

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Solution

The correct option is C B, D, E, F

Event (E) Value for P (E)

A $- 0.00001$

B $0.5$

C $1.001$

D $0$

E $1$

F $20 %$

We know, $0 \leq P (E) \leq 1$ ,

or $0 % \leq P (E) \leq 100 %$

From the table, it is clear that the probabilities of B, D, E and F lie between either $0 and 1$ or $0 % and 100 %$ . Hence, events B, D, E, and F have valid probabilities.

As $P(A) = - 0.00001 < 0$ and $P(C) = 1.001 > 1$ , the events A and C have invalid probabilities.

Suggest Corrections

Similar questions

If E and F are mutually exclusive events, find the probability of (E’ $\cup$ F’)

Q. Statement 1: The probability of a sure event is 1.
Statement 2: The probability of an impossible event is 0.
Statement 3: For an event E,

0 \leq P (E) \leq 1

.
Which of the above statement(s) are true?

Let E and F be two independent events. The probability that both E and F happen is 1/12 and the probability that neither E nor F happens is 1/2 .Then,

Q. For the three events

A, B & C,

probability of exactly one of the events

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B

occurs = probability of exactly one of the events

C

A

occurs

= p

&

P

(all the three events occur simultaneously)

= p

^{2}

, where

Q. Let

P (E)

denote the probability of occurrence of event

E .

A

and

B

are two events associated with an experiment such that

∣ ∣ ∣ ∣ ∣ \begin{matrix} P (A) - 1 & P (B) & - P (A \cap B) P (B) & - P (A \cap B) & P (A) - 1 - P (A \cap B) & P (A) - 1 & P (B) \end{matrix} ∣ ∣ ∣ ∣ ∣ = 0,

then

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Event (E)	Value for P (E)
A	$- 0.00001$
B	$0.5$
C	$1.001$
D	$0$
E	$1$
F	$20 %$

Event (E) Value for P (E) A −0.00001 B 0.5 C 1.001 D 0 E 1 F 20% Events and their associated probabilities are included in the table above. Which event(s) has(have) a valid probability?

Event (E) Value for P (E)

A $- 0.00001$

B $0.5$

C $1.001$

D $0$

E $1$

F $20 %$

Events and their associated probabilities are included in the table above. Which event(s) has(have) a valid probability?