3.5 Tree and Venn Diagrams

There are a total of 11 balls in the urn. Draw two balls, one at a time, with replacement. There are 11(11) = 121 outcomes, the size of the sample space.

a. List the 24 BR outcomes: B1R1, B1R2, B1R3, ...

b. Using the tree diagram, calculate P(RR).

c. Using the tree diagram, calculate P(RB OR BR).

d. Using the tree diagram, calculate P(R on 1st draw AND B on 2nd draw).

e. Using the tree diagram, ca…

Calculate the following probabilities using the tree diagram.

a. P(RR) = ________

b. Fill in the blanks:

P(RB OR BR) = $\left(\frac{3}{11}\right) \left(\frac{8}{10}\right) \textrm{ } + \textrm{ }(___)(___)\textrm{ } = \textrm{ } \frac{48}{110}$

c. P(R on 2nd|B on 1st) =

d. Fill in the blanks.

P(R on 1st AND B on 2nd) = P(RB) = (___)(___) = $\frac{24}{110}$

e. Find P(BB).

f. Find P(B on 2nd|R on 1st).

Find P(Blue bead).

1. $\frac{15}{36}$
2. $\frac{10}{36}$
3. $\frac{10}{12}$
4. $\frac{6}{36}$

Use the following information to answer the next two exercises. The percent of licensed U.S. drivers (from a recent year) that are women is 48.60. Of the women, 5.03% are age 19 and under; 81.36% are age 20–64; 13.61% are age 65 or over. Of the licensed U.S. men drivers, 5.04% are age 19 and under; 81.43% are age 20–64; 13.53% are age 65 or over.

Complete the following.

1. Construct a table or a tre…

Use the following information to answer the next two exercises. The percent of licensed U.S. drivers (from a recent year) that are women is 48.60. Of the women, 5.03% are age 19 and under; 81.36% are age 20–64; 13.61% are age 65 or over. Of the licensed U.S. men drivers, 5.04% are age 19 and under; 81.43% are age 20–64; 13.53% are age 65 or over.

Approximately 86.5% of Americans commute to work by…

Use the following information to answer the next two exercises. The percent of licensed U.S. drivers (from a recent year) that are women is 48.60. Of the women, 5.03% are age 19 and under; 81.36% are age 20–64; 13.61% are age 65 or over. Of the licensed U.S. men drivers, 5.04% are age 19 and under; 81.43% are age 20–64; 13.53% are age 65 or over.

Use the following information to answer the next tw…

Use the following information to answer the next two exercises. The percent of licensed U.S. drivers (from a recent year) that are women is 48.60. Of the women, 5.03% are age 19 and under; 81.36% are age 20–64; 13.61% are age 65 or over. Of the licensed U.S. men drivers, 5.04% are age 19 and under; 81.43% are age 20–64; 13.53% are age 65 or over.

Answer these questions using probability rules. Do…