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Cards numbered 1 through 30 are placed in a bag and shuffled. One card is chosen at random. What is the probability of randomly selecting a number less than or equal to 5, or a multiple of 7?

 Aug 27, 2018
 #1
avatar+98141 
+2

Less than or equal to 5....there are 5 cards  ...1,2,3,4,5

 

Multiple of 7....there are 4 cards   ....  7, 14, 21 , 28

 

 

So....  [5  + 4 ] / 30   = 9 / 30  =   3 /10

 

 

 

cool cool cool 

 Aug 27, 2018
 #2
avatar+377 
+2

In order to find the probability of a certain event, we need to set up the fraction; \(\frac{p(successful)}{p(possible)}\). Let's see how many numbers are successful:

 

Less than or equal to 5: \(1, 2, 3, 4, 5\)

 

Multiple of 7: \(7, 14, 21, 28\).

 

These nine numbers are successful, so your probability would be \(\frac{9}{30} = \frac{3}{10}\).

 

- Daisy

 Aug 27, 2018

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