Probability

You draw a card at random from a standard deck of 52 cards.  Find the probability that the card is a diamond given that it is a queen.

• .25
• .5
• .333
• 0

You draw a card at random from a standard deck of 52 cards.  Find the probability that the card is a face card given that it is a king.

• .333
• .231
• .77
• 1

You draw a card at random from a standard deck of 52 cards. Find the probability that the card is a heart given that it is black.

• .5
• 0
• .25
• .333

You are dealt a hand of three card one at a time.  Find the probability that your cards are all diamonds.

• 0.75
• 0.016
• 0.231
• 0.129

You are dealt a hand of three card one at a time.  Find the probability that your cards are all face cards.

• .012
• .025
• .013
• .010

Mean X   Standard Deviation X
     70              8
Find the mean and standard deviation of 4X.

• ϻ=280  σ=8
• ϻ=74  σ=32
• ϻ=280  σ=32
• ϻ=280  σ=128

X              3     6      9      12
P(X)       0.5   0.7   0.2   0.4
Find the expected value of the random variable.

• 13.5
• 6
• 12.3
• 7.5

You flip a coin 10 times.  What is the probability of getting heads on your next flip?

• .10
• .20
• .25
• .50