Dice
P(6)
The probability is 1/6
What is the probability of a coin landing on heads?
The probability is 1/2
The probability it rains tomorrow is 0.3. What is the probability it doesn't rain?
0.7
What is the probability of picking a four in a deck of cards?
The probability is 4/52 or 1/13
The event (A and B) is called the _____________ of events A and B. It consists of all outcomes that are common to both events.
What is intersection?
P(4')
The probability is 5/6
P(tails)
The probability is 1/2
If I flip a fair coin, find P(tails)
1/2
What is the probability of getting a spade from a deck of cards?
The probability is 13/52 or 1/4
If we observe more and more repetitions of any chance process, the proportion of times a specific outcome occurs approaches its probability.
What is the Law of Large Numbers?
P(even)
The probability is 3/6 or 1/2
What is the probability of flipping two coins and landing on heads and then tails?
The probability is 1/4
The probability it rains tomorrow is 0.3. What is the probability it doesn't rain?
0.7
What is the probability of getting either a heart or an ace of spades from a deck of cards?
The probability is 14/52 or 7/26
All of the possible outcomes of a chance process
What is a sample space?
P(prime)
The probability is 3/6 or 1/2
At a carnival, there is a game where you shoot balls into a basket. The probability of getting the ball into the basket is 1/6.
If you shot 30 balls, how many would you expect to get in?
5
The probability it snows on Monday in Canada is 0.02. The probability it snows on Tuesday is 0.5. What is the probability it snows both days?
0.01
What is the probability of drawing a diamond or a queen from a deck of cards?
The probability is 16/52.
Two events that can never happen together
What are mutually exclusive events?
If I roll a dice 30 times, how many times would I expect to land on 3?
I would expect to land on a three 5 times.
What is the probability of flipping five coins and getting heads, then tails, then tails, then heads, and then tails?
The probability is 1/32
The probability of winning some lotteries is 1/14,000,000. What would be the probability of winning the lottery twice?
1 in 196,000,000,000,000
or
1 in one hundred and ninety six trillion
What is the probability of drawing an ace, returning it, then drawing a Spade Card from a deck of cards?
The probability is 52/2704 or 1/52
The product of the number of trials and the probability of an event.
What is Expected Value?