Abowl contains 25 balls numbered 1 to 25. a ball is drawn and its number is noted. without replacing the first ball, another ball is drawn. the probability that the numbers on both balls are odd numbers is ?

Using the hypergeometric distribution, it is found that there is a 0.26 = 26% probability that the numbers on both balls are odd numbers.

--------------------------------

The balls are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

In which:

Combinations formula:

is the number of different combinations of x objects from a set of n elements, given by the following formula.

--------------------------------

In this question:

--------------------------------

The probability that the numbers on both balls are odd numbers is ?

This is P(X = 2). Thus

0.26 = 26% probability that the numbers on both balls are odd numbers.

A similar problem is given at link

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50

circle area = pi * radius^2

if diameter = 10 then radius = 5

circle area = pi * 5^2

circle area = pi * 25

circle area = 78.5398163397 square units

step-by-step explanation: