Statistics: Probability Rules

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.

• .231
• 1
• .25
• .333

At a California college, 19% of the students speak Spanish, 7% speak French, and 4% speak both languages.  A student is chosen at random from the college.  What is the probability that the student speaks Spanish if she speaks French?

• 0.220
• 0.211
• 0.040
• 0.571

You draw a card at random from a standard deck of 52 cards.  Find the probability that the card is a spade given that it is not a diamond.

• 0.5
• 0.077
• 0.25
• 0.333

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

• 0.013
• 0.016
• 0.705
• 0.231

Is the following disjoint, independent or neither.
Rolling a die one time and getting a 5 and 6.

• disjoint
• independent
• neither

Is the following disjoint, independent or neither.
Flipping a coin twice and getting tails both times.

• disjoint
• independent
• neither

What is the probability of flipping a coin and getting heads?

• 0.25
• 0.5
• 0.75
• 1

Are the events of speeding and getting a ticket disjoint, independent or neither?

• disjoint
• independent
• neither

Your teacher gives you a 4 question multiple choice test.  Each question has 4 possible answer choices.  If you forgot to study and randomly guess on each question, what is the probability of getting all of the answers correct?

• 0.04
• 0.039
• 0.004
• 3.9

How many times should you shuffle a standard deck of cards to randomize the deck?

• 1
• 3
• 7
• 10