Question

can 7/2 be the probability of an event? Explain?

Answer 1

Answer:

No, 7/2 can not be the probability of an event.

Step-by-step explanation:

Probability is the ratio of number of favorable outcomes and total number of possible outcomes. It is the likelihood that an event will occur.

$\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$

$P=\frac{a}{b}$

The number of favorable outcomes is always less that or equal to the total number of possible outcomes and number of outcomes can not be negative.

$a>0, b>0$

$\frac{a}{b}\geq 0$     .... (1)

$a<b$

$\frac{a}{b}\leq 1$        .... (2)

Using (1) and (2),

$0\leq \frac{a}{b}\leq 1$

$0\leq P\leq 1$

It means probability of an event lies between 0 to 1.

Since 7/2>1, therefore 7/2 can not be the probability of an event.

Answer 2

Answer:

No, 7/2 can not be the probability of an event.

Step-by-step explanation:

Probability is the ratio of number of favorable outcomes and total number of possible outcomes. It is the likelihood that an event will occur.

\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}Probability=

Total number of possible outcomes

Number of favorable outcomes

P=\frac{a}{b}P=

b

a

The number of favorable outcomes is always less that or equal to the total number of possible outcomes and number of outcomes can not be negative.

a > 0, b > 0a>0,b>0

\frac{a}{b}\geq 0

b

a

≥0 .... (1)

a < ba<b

\frac{a}{b}\leq 1

b

a

≤1 .... (2)

Using (1) and (2),

0\leq \frac{a}{b}\leq 10≤

b

a

≤1

0\leq P\leq 10≤P≤1

It means probability of an event lies between 0 to 1.