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
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