What is a two-step probability problem?
A two-step probability problem involves calculating the probability of two events happening in sequence.
True or False: In a two-step probability problem, the outcomes of the first event affect the outcomes of the second event.
False
Fill in the blank: The probability of an event is calculated by dividing the number of favorable outcomes by the total number of _______.
outcomes
What does ‘without replacement’ mean in probability?
‘Without replacement’ means that once an item is selected, it is not returned to the sample space for future selections.
If a bag contains 3 red and 2 blue marbles, what is the probability of drawing a red marble first and then a blue marble without replacement?
The probability is 0.24 or 24%.
What is the total number of outcomes when rolling a six-sided die twice?
36 outcomes.
Multiple Choice: What is the probability of drawing a king from a standard deck of cards?
1/52
True or False: The sum of the probabilities of all possible outcomes in a probability model equals 1.
True
What is the formula for calculating the probability of two independent events A and B occurring?
P(A and B) = P(A) * P(B)
Fill in the blank: The sample space is the set of all possible _______ in a probability experiment.
outcomes
How do you calculate the probability of an event that cannot happen?
The probability is 0.
What is the probability of drawing two aces in succession from a deck of 52 cards without replacement?
The probability is 1/221.
Multiple Choice: If a box contains 5 green and 3 yellow balls, what is the probability of picking a green ball first?
5/8
True or False: The probability of an event can be greater than 1.
False
What is an array in the context of probability?
An array is a systematic arrangement of numbers or objects that can represent outcomes.
Fill in the blank: If you flip a coin and roll a die, the total number of possible outcomes is _______.
12
What does ‘favorable outcomes’ refer to in probability?
Favorable outcomes refer to the specific outcomes that satisfy the conditions of the event.
How do you represent the probability of an event as a fraction?
As the number of favorable outcomes over the total number of outcomes.
What is the probability of not drawing a red marble from a bag containing 4 red and 6 green marbles?
0.6 or 60%.
Multiple Choice: In a two-step probability problem, if the first event has a probability of 1/4 and the second event has a probability of 1/3, what is the combined probability?
1/12
True or False: When calculating probabilities, it is important to consider the total number of outcomes.
True
What is the probability of drawing a heart and then a diamond from a standard deck of cards without replacement?
The probability is 1/102.
Fill in the blank: In probability, the term ‘event’ refers to a specific _______ or combination of outcomes.
occurrence
What is the probability of drawing two cards from a deck and both being face cards without replacement?
The probability is 1/221.
