## yashar806 2 years ago We have a small deck of ten cards. Five of the cards are red, three are blue and two are green. We randomly select four cards from the deck with replacement. That is, after we select a card and record the colour, we put the card back in the deck and thoroughly shuffle them before we select another card.

1. yashar806

make a tree diagram

2. yashar806

how should i make a tree diagram for this probability?

3. nincompoop
4. yashar806

5. yashar806

What is the probability that the rst two selected cards are the same colour?

6. yashar806

first

7. yashar806

are ut here?

8. yashar806

hello?

9. kropot72

Did the full question ask you to make a tree diagram?

10. yashar806

no

11. yashar806

What is the probability that the rst two selected cards are the same colour?

12. yashar806

thats the question

13. yashar806

What is the probability that the first two selected cards are the same colour?

14. kropot72

There are three possible events to consider: 1. P(red + red) = 5/10 * 5/10 2. P(blue + blue) = 3/10 * 3/10 3. P(green + green) = 2/10 * 2/10 These three events are mutually exclusive, therefore the probability of the first two selected cards being the same color is the sum of the above three probabilities.

15. kropot72

@yashar806 Have you done the calculation yet?

16. kropot72

Required probability is \[0.5^{2}+0.3^{2}+0.2^{2}=you\ ca\ calculate\]

17. kropot72

you can*

18. yashar806

yep