Question

8) You shuffle a deck of two red cards and two blue cards. Then you deal the four cards face down. You then turn two cards face up.
1) Draw a decision tree to identify the choices.
2) What is the probability that both cards facing up are red?

9) Create a decision diagram for a major decision in your life. The decision must have at least 3 issues. For instance you are deciding to take an umbrella with you today because there is a chance of rain and you don't you risk ruining your backpack and the papers inside it.

Answer 1

8)

1) The decision tree is as follows

2)

Probability that the first card facing up is red, P1 = 1/2 (2 favorable outcome out of 4)

Probability that the second card facing up is red, given that the first card is red, P2 = 1/3 (after the first card turns out to be red, there is only 1 red card left out of the three, so favorable outcome is 1 of 3)

Probability that both cars facing up are red = (1/2)*(1/3) = 1/6