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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
+98141
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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

Aug 27, 2018
#2
+377
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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