Test 9 Outcome 3

From a standard 52 deck of cards, find the probability that you draw a heart on the first draw and a club on the second draw (without replacing the first card).

• 
  

  $\frac{13}{204}$
  

• $\frac{3}{52}$

• $\frac{1}{8}$

• $\frac{1}{13}$

Are the events of picking a club and a heart, without replacement, dependent or independent?

• Independent

• Dependent

How does the probability of rolling a 2 on a die compare to the probability of rolling a 4 given that you rolled a 2 the previous time?

• Probability of rolling a 2 is greater

• Probability of rolling a 4 is greater

• The probabilities are the same

If P(A) = .9, P(B) = .5 and the P(A and B) = .2, as shown in the diagram, what is P(A│B)?

• $\frac{7}{3}$

• $\frac{2}{7}$

• $\frac{3}{5}$

• 
  

  $\frac{2}{5}$
  

Find P(A and B) if P(A) = 0.6, P(A│B) = 0.4 and P(B│A) = 0.2

• 0.24

• 0.12

• 0.08

• 0.8

Silia and Laura share an apartment. The probability that Lisa cooks dinner is 0.30. If Laura does not cook dinner, then Silia does. If Silia cooks dinner the probability that they have pasta is 0.75. If Laura cooks dinner the probability that they have pasta is 0.12. What is the probability that Laura cooks and they have pasta for dinner?

• 0.525

• 0.036

• 0.12

• 0.30