Mathematics: Seventy cards are numbered 1 through 70 , one number per card. One card is randomly selected from the deck. What is the probability that the number drawn is a multiple of 3 AND a multiple of 5 ?

Seventy cards are numbered 1 through 70 , one

25linm

05.02.2022

$Probability = \frac{2}{35}$

Step-by-step explanation:

Given

Total = 70

First, we need to list the multiples of 5

$M_5 = \{5,10,15,20,25,30,35,40,45,50,55,60,65,70\}$

Then, multiples of 3 $M_3 = \{3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60,63,66,69\}$

Next, is to list out the common elements in both

$M_3\ n\ M_5 = \{15,30,45,60\}$

$n(M_3\ n\ M_5) = 4$

The required probability is then calculated as thus:

$Probability = \frac{n(M_3\ n\ M_5)}{Total}$

$Probability = \frac{4}{70}$

$Probability = \frac{2}{35}$

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itzjames025

16.07.2022

yeah your not the only one!

Step-by-step explanation:

but this is not he thing to put as a question

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