Question

A cookie Jar contains 13 peanut butter cookies and 11 chocolate cookies. you pick 2 cookies at random from the jar.

A- contsrtuct a Tree Diagram fot this situation. label each branch and write the associated probability of that branch. Write down each outcome in the sample space at the end of each Long Branch and the probability associated with that outcome?

B- Use the Tree Diagram to find the probability that you pick 2 cookies of the same type?

C- what is the probability of choosing 2 cookies which are different types?

*(Show all work / formulas)

Answer 1

A) The tree diagram is above with the probabilities at the twig end of the branch. The individual branches show the probabilities broken down. Key: C=chocolate, P=peanut butter.

B) Probability of two the same is PP+CC=13/46+55/276=133/276.

C) PC+CP=143/276.