Exercises. Sec 13.3: Conditional Probability/Independent Events
Assume that 2 fair dice are rolled.
Let F: the total is 5 and E: the total is odd
Compute P(F).
Compute P(F|E).
Why would one expect the probability of F to change as it
did when we added the condition that E had occurred.
a. The event E doubles the number of possible outcomes,
decreasing the probability.
b. The event E halves the number of possible outcomes,
increasing the probability.
c. The event E doubles the number of possible outcomes,
increasing the probability.
d. The event E halves the number of possible outcomes,
decreasing the probability.
Assume that 2 cards are drawn from a standard 52-card deck.
If the cards are drawn without replacement, find the
probability of drawing 2 tens.
If the cards are drawn with replacement, find the probability
of drawing 2 tens.
Assume that 2 cards are drawn from a standard 52-card deck.
If the cards are drawn without replacement, find the
probability of drawing a diamond followed by a non-diamond.
If the cards are drawn with replacement, find the probability
of drawing a diamond followed by a non-diamond
If we roll a pair of dice two times. What is the probability that
a total of 7 is rolled each time?
Find the probability, P(Q ∩ R),
associated with the tree
diagram.