Question

Suppose that nine-digit Social security numbers are assigned at random. If you randomly select a number, what is the probability that it belongs to one of the 300 million people in the United States?

Answer 1

Answer:  0.3 .

Step-by-step explanation:

The digits in number system = 10      ( 0 to 9)

The total different nine-digit Social security numbers  = $10^9$  [By Fundamental counting principle]

$=1,000,000,000$   = 1 billion

Total people in united state = 300 million = 300, 000 ,000

Since each person In US have equal chance to get chosen.

Therefore , if a number is selected randomly  , then the probability that it belongs to one of the 300 million people in the United States :-

$=\dfrac{300, 000 ,000}{1,000, 000 ,000}=0.3$

Hence, the required probability is 0.3 .