Calculating Probabilities Review

You are fishing in a small pond containing 7 bass, 4 sunfish, 6 catfish, and 3 goldfish.  If you throw the fish back after each catch, what is P(bass, then goldfish)?

•  $\frac{1}{20}\cdot\frac{1}{20}=\frac{1}{400}$ 

•  $\frac{7}{20}+\frac{3}{20}=\frac{11}{20}$ 

•  $\frac{7}{20}\cdot\frac{3}{20}=\frac{21}{400}$ 

•  $\frac{7}{20}\cdot\frac{3}{19}=\frac{21}{380}$ 

A box contains 8 chocolate, 4 powdered sugar, 6 cinnamon,  and 6 red velvet munchkins.  If you grab a munchkin, eat it, and then grab another one, what is P(chocolate, and then red  velvet)?

•  $\frac{1}{24}\cdot\frac{1}{23}=\frac{1}{552}$ 

•  $\frac{8}{24}+\frac{6}{23}=\frac{41}{69}$ 

•  $\frac{8}{24}\cdot\frac{6}{24}=\frac{48}{576}=\frac{1}{12}$ 

•  $\frac{8}{24}\cdot\frac{6}{23}=\frac{21}{552}$ 

Three cards are dealt to you without returning the cards to the deck.  Which expression below represents the probability of you being dealt three kings?

•  $\frac{1}{52}\cdot\frac{1}{52}\cdot\frac{1}{52}$ 

•  $\frac{4}{52}\cdot\frac{3}{51}\cdot\frac{2}{50}$ 

•  $\frac{4}{52}\cdot\frac{4}{51}\cdot\frac{4}{50}$ 

•  $\frac{1}{52}\cdot\frac{1}{51}\cdot\frac{1}{50}$ 

If you are picking a card randomly from a deck of cards, the events of picking a jack and picking a heart are ...

• Mutually Exclusive

• Not Mutually Exclusive

If you are picking a card randomly from a deck of cards, the events of picking an ace and picking a ‘3’ are ...

• Mutually Exclusive

• Not Mutually Exclusive

When rolling a single die, the events of rolling an even number and rolling a ‘5’ are ...

• Mutually Exclusive

• Not Mutually Exclusive

If you roll one die, what is the probability of getting an even number or a multiple of 3?

• 1/3
• 2/3
• 1/2
• 1/6

Which of the following shows how to determine P(shaded number or number less than five)?

• 4/8 + 4/8 - 2/8
• 4/9 + 2/8 - 4/8
• 4/8 + 6/8 + 2/8
• 2/8 + 4/8 - 4/8

The diagram shows the sports played by 80 students.

If a student is picked at random, what is the probability that they play football?

• ⁶⁶/₈₀

• ⁴/₈₀

• ¹⁸/₈₀

• ⁴⁹/₈₀

The diagram shows the sports played by 80 students.

If a student is picked at random, what is the probability that they play Hockey and Rugby?

• ³⁶/₈₀

• ⁵/₈₀

• ⁴¹/₈₀

• ⁴⁴/₈₀