Question

5. In n trials of a random experiment, if an
event E happens m times, then P(E) is
equal to​

Answer 1

Step-by-step explanation:

P(E) = m/n Because

p(e) is the probability of getting the event (E)

in n trials

and , p(E)= No.of events / No. of trials

so, P(E)= m/n

Answer 2

In n trials of a random experiment, if an event E happens m times, then P(E) = m/n

Given :

In n trials of a random experiment, if an event E happens m times

To find :

The value of P(E)

Solution :

Step 1 of 2 :

Define probability of an event

In any random experiment if the total number of elementary ( simple) events in the sample space be n ( a finite number) among which the number of elementary events favourable to an event E , connected with the experiment be m then the probability of the event E is denoted by P (E) and defined as

$\displaystyle \sf{}P(E) = \frac{m}{n}$

Step 2 of 2 :

Find the value of P(E)

The total number of possible outcomes = n

The total number of possible outcomes for the event E is m

Hence we can conclude that

$\displaystyle \sf{}P(E) = \frac{m}{n}$

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