Probability Trees and Conditional Probability Quiz

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In a tree diagram, how do you find P(A then B)?

a) Multiply along branches b) Add along branches c) Divide probabilities d) Subtract probabilities

Two coins are flipped. P(both heads) = ?

a) 1/4 b) 1/2 c) 1/8 d) 3/4

What does P(B|A) mean?

a) Probability of B given A b) Probability of B or A c) Probability of B and A d) Probability of B times A

If P(A) = 0.4 and P(B|A) = 0.6, what is P(A and B)?

a) 0.24 b) 1.0 c) 0.6 d) 0.4

Drawing 2 cards without replacement: First red (26/52), second red given first red?

a) 25/51 b) 26/52 c) 25/52 d) 26/51

In tree diagrams, what do you do for P(A or B) from different branches?

a) Add the probabilities b) Multiply probabilities c) Subtract probabilities d) Divide probabilities

If events are independent, P(A and B) = ?

a) P(A) × P(B) b) P(A) + P(B) c) P(A|B) d) P(B|A)

A bag has 4 red, 6 blue balls. Draw 2 without replacement. P(both blue) = ?

a) 30/90 b) 36/100 c) 6/10 d) 12/45

What makes events independent?

a) One doesn't affect the other b) They cannot happen together c) They always happen together d) They have equal probability

Using Bayes' theorem, if P(A|B) = 0.8, P(B) = 0.3, P(A) = 0.5, find P(B|A):

a) 0.48 b) 0.8 c) 0.3 d) 0.6

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