Independent & Dependent Events

A compound event where the outcome of the first event DOES NOT affect the outcome of the second event is called

• an independent event

• a dependent event

• a subset

• a miracle

A compound event where the outcome of the first event DOES affect the outcome of the second event is called

• an independent event

• a dependent event

• a subset

• a miracle

Two dice are rolled. What is the probability that you roll a 2, and then a 4?

• $\frac{1}{6}\cdot\frac{1}{6}=\frac{1}{36}$

• $\frac{1}{6}+\frac{1}{6}=\frac{2}{12}$

• $\frac{2}{6}=\frac{1}{3}$

• $\frac{2}{6}\cdot\frac{4}{6}=\frac{8}{36}$

A coin is flipped and a spinner with four colored sections is spun.  What is P(heads, and then blue)? 

• $\frac{1}{6}\cdot\frac{1}{6}=\frac{1}{36}$

•  $\frac{1}{2}+\frac{1}{4}=\frac{3}{4}$ 

• $\frac{2}{6}=\frac{1}{3}$

•  $\frac{1}{2}\cdot\frac{1}{4}=\frac{1}{8}$ 

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)?

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

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

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

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

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(sunfish, then sunfish)?

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

•  $\frac{4}{20}+\frac{4}{20}=\frac{8}{20}$ 

•  $\frac{4}{20}\cdot\frac{4}{20}=\frac{16}{400}=\frac{1}{25}$ 

•  $\frac{4}{20}\cdot\frac{3}{19}=\frac{21}{380}$ 

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)?

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

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

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

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

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 chocolate)?

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

•  $\frac{8}{24}+\frac{7}{23}=\frac{44}{69}$ 

•  $\frac{8}{24}\cdot\frac{8}{24}=\frac{64}{576}$ 

•  $\frac{8}{24}\cdot\frac{7}{23}=\frac{56}{552}=\frac{7}{69}$ 

Three cards are dealt to you without returning the cards to the deck.  Which expression below represents the probability of you being dealt a king, a queen and a jack?

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

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

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

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

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?

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

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

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

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