4. 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.
plz I need help
Hi. Firstly, next time a math question shouldn't be labeled as Off Topic, since it isn't, and many people may feel discouraged to answer. Onwards to the question.
a) We have 13 spades in 52 cards, so there is a 1/4 chance of drawing a spade. There are 2 blue counters out of 5, so 2/5 probabiity of drawing one. We multiply these together to get... 1/4 * 2/5 = 2/20 = 1/10. There's a 1/10 chance.
b) There are 2 ranks(26) red cards, so 26/52= 1/2 chance, and there is 1 red counter,so 1/5 probabilty. We multiply these together to get 1/10 chance.
c) I'm not sure what you mean by "face card', so i'm assuming jack, queen, and king? so there are four of each, giving us a total of 3*4 =12 cars. 12/52 = 6/26 = 3/13. We have a total probability of 1, and probability of drawing white counter is 2/5, so 1- 2/5 is 3/5. We multiply these together, getting 9/65.
d) we have 13 diamond cards, so 1/4 chance, and there are no green counters, so zero chance, so 1/4 * 0 = 0. Probability of this is 0
If you don't understand anything feel free to ask!