Writing Explain the difference between theoretical probability and experimental probability.

C and D are not mutually exclusive events. Copy and complete the table below to find each missing probability.

$$\begin{matrix} \text{P(C)} & \text{P(D)} & \text{P(C and D)} & \text{P(C or D)}\\ \frac{2}{3} & \frac{3}{5} & \square & \frac{13}{15}\\ \end{matrix}$$

C and D are not mutually exclusive events. Copy and complete the table below to find each missing probability.

$$\begin{matrix} \text{P(C)} & \text{P(D)} & \text{P(C and D)} & \text{P(C or D)}\\ \frac{4}{9} & \frac{4}{9} & \square & \frac{5}{9}\\ \end{matrix}$$

C and D are not mutually exclusive events. Copy and complete the table below to find each missing probability.

$$\begin{matrix} \text{P(C)} & \text{P(D)} & \text{P(C and D)} & \text{P(C or D)}\\ \frac{1}{2} & \frac{1}{3} & \frac{1}{4} &\square\\ \end{matrix}$$

C and D are not mutually exclusive events. Copy and complete the table below to find each missing probability.

$$\begin{matrix} \text{P(C)} & \text{P(D)} & \text{P(C and D)} & \text{P(C or D)}\\ \frac{3}{7} & \frac{1}{4} & \frac{1}{8} & \square\\ \end{matrix}$$

A standard number cube is tossed. Find each probability. P(4 or less than 6)

A standard number cube is tossed. Find each probability. P(3 or odd)

S and T are mutually exclusive events. Find P(S or T). $P(S)=12 \%, P(T)=27 \%$

S and T are mutually exclusive events. Find P(S or T). $P(S)=\frac{5}{8}, P(T)=\frac{1}{8}$

Two standard number cubes are tossed. State whether the events are mutually exclusive. Explain your reasoning. The sum is a prime number; the sum is less than 4.

Q and R are independent events. Find P(Q and R). $P(Q)=\frac{12}{17}, P(R)=\frac{3}{8}$

The color of a car is selected at random; the type of transmission is selected at random.

Classify each pair of events as dependent or independent. A month is selected at random; a day of that month is selected at random.

In a class of 147 students, 95 are taking math (M), 73 are taking science (S), and 52 are taking both math and science. One student is picked at random. Find each probability. P(taking math but not science)