Question

Each of the numbers from 1 through 30 is written on a table tennis ball and placed in a wire cage. Each of the numbers 20 through 45 is written on a table tennis ball and placed in a different wire cage. One ball is chosen at random from each spinning cage.

Which of the following best describes:

P(each is a 25)

Answer 1

Determine the probability that you draw a 25 from the first cage. Then determine the probability that you draw a 25 from the second cage. Then multiply these two probabilities together

Answer 2

still dont get it

Answer 3

Ok, how many balls are in the first cage? How many of them contain the number 25?

Answer 4

30

Answer 5

Right, the first cage has 30. How many of them contain the number 25?

Answer 6

1

Answer 7

Ok, so the probability of getting a 25 from the first cage is 1/30

Now do the same thing for the second cage

Answer 8

the second one has 1/25 right

Answer 9

The second cage actually has 26 balls in it (the numbers 20 through 45) so the probability is 1/26

Answer 10

Now, the probability that both of these events occur can be found by multipying them together:
\[\frac{ 1 }{ 30 } \times \frac{ 1 }{ 26 }=\frac{ 1 }{ 30 \times 26 }\]

Answer 11

1/780

Answer 12

Right, that should be your answer