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 An experiment consists of picking a card from a standard deck of playing cards and drawing a counter from a bag that contains 5 counters: 2 blue, 2 white, and 1 red.  Find the probability of each event: 

 

a) Picking a spade and drawing a blue counter.

 b) Picking a red card and drawing a red counter. 

c) Picking a face card and not drawing a white counter. d) Picking a diamond and drawing a green counter

 Apr 15, 2020
 #1
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a) There are 13 spades in a deck = 13/52

There are 2 blue counters out of a total of 5 counters = 2/5

Multiply the two and you would get the answer of 26/260, which is 1/10 if you simplify it. 

b) There are 26 red cards in a deck = 26/52

There is 1 red counter out of 5 = 1/5

Multiply: 26/260 or 1/10

c) There are 12 face cards in a deck = 12/52

There are 3 nonwhite counters out of 5 = 3/5

Multiply: 36/260 or 9/65

 Apr 15, 2020

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