Question

If P(B)=3/13 and n(S)=52, then n(B)=?

Answer 1

Given,

S represents total samples. A and B are the two possible events of the probability determined.

P(B) = probability of occurrence of event B = 3/13

Total number of samples = n(S) = 52

To find,

The value of n(B) = number of occurrences of event B.

Solution,

We can simply solve this mathematical problem using the following process:

Mathematically,

The probability of occurrence of a favorable event

= P (favorable event)

= (Total number of occurrence of the favorable event) / (Total number of occurrence of all possible events)

= (Total number of occurrence of the favorable event) / (Total number of trials)

Now, according to the question;

Total number of trials = Total number of events possible = Total number of samples = n(S) = 52

Now,

P(B) = probability of occurrence of event B = 3/13

=> (number of occurrences of event B) / (total number of samples) = 3/13

=> (number of occurrences of event B) = 3/13 × (total number of samples)

=> (number of occurrences of event B) = 3/13 × 52

=> (number of occurrences of event B)= n(B) = 12

Hence, the value of n(B) is equal to 12.

Answer 2

Answer:

n(B)=

Step-by-step explanation: