You randomly select an integer from 0 to 24 (inclusively) and then randomly select an integer from 0 to 7 (inclusively). What is the probability of selecting a 5 both times?

The probability of selecting a 5 both times is 0.005

Given:

integer from 0 to 24

integer from 0 to 7

Now let determine the probability of selecting a 5 both times

P(getting  5 both times)=?

P(1st time 5)=1/25

P(2nd time 5)=1/8

Hence:

P(getting  5 both times) =(1/25)(×1/8)

P(getting  5 both times)=0.04×0.125

P(getting  5 both times)=0.005

Inconclusion The probability of selecting a 5 both times is 0.005

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1/200

Step-by-step explanation:

There are 24 - 0 + 1 = 25 integers from 0 - 24 (inclusive) and 7 - 0 + 1 = 8 integers from 0 - 7 (inclusive) so there are 25 * 8 = 200 possible outcomes from selecting a random integer from each interval. Of these outcomes, there is only one where you select a 5 both times, so the probability is 1/200.

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6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.