Multiplication Rule

Topic Page

Questions

• You flip a coin and roll a die. What is the probability that you obtain a head on the coin and a 2 on the die?
• You draw a card from a standard deck, and you put the drawn card back in the deck after each draw. If you repeat this procedure 4 times, what is the probability that you draw a Diamond all 4 times?
• The Birthday Problem is a famous statistical problem that tells us that there is about a 50% chance that, out of just 23 people in a room, at least two of them will share the same birthday (month and day). How is the multiplication rule used to calculate this probability?
• Use your common sense to answer this question. Are the events "Rain" and "Having a Car Accident" independent or dependent?
• How do you evaluate #(10!)/(4!)#?
• A player's batting average in softball is .400. What is the probability he gets 3 hits in his next 5 at-bats?
• A player's batting average in softball is .400. What is the probability he gets 0 hits in his next 6 at-bats?
• Suppose that you take a 20 question multiple-choice quiz by guessing. Each question has exactly one correct answer of the four alternatives given. What is the probability of getting all 20 questions correctly?
• Suppose that you take a 20 question multiple-choice quiz by guessing. Each question has exactly one correct answer of the four alternatives given. What is the probability of getting all 20 questions incorrectly?
• How do you combine probabilities?
• The probability that a man will be alive in 25 years is 3/5, and that the wife will be alive in 25 years is 2/3. What's the probability that in 25 years, both will be alive?
• Question #6b33e
• In a single roll of a six-sided dice, what is the probability of rolling a three or an even number?
• A dice has 6 faces. 2 faces are colored in blue, 3 faces are colored in red and 1 is green. The dice is rolled 4 times. What is the probability of the dice to show: a) blue, red, red, green (in this order); b) The same colors but in any order?