DEFINITION
What does the symbol ∪ represent?
Union “or”
What formula is used to calculate the probability of the union of two mutually exclusive events?
P(A∪B) = P(A) + P(B)
In a pet store, 60% of customers buy dog food, 40% buy cat food, and 15 % buy both. What is the probability that a randomly selected customer buys dog food or cat food?
85%
In a group of 50 people, 30 like tea, 25 like coffee, and 10 like neither. How many people like both tea and coffee?
15
A card is drawn at random from a standard deck of 52 cards. What is the probability that the card drawn is a king, given that it is a heart?
1/13
What does the symbol ∩ represent?
Intersection “and”
What formula is used to calculate the probability of the union of two not-mutually exclusive events?
P(A∪B) = P(A) + P(B) – P(A∩B)
What is the probability that a card drawn from a standard deck is either a queen or a diamond?
4/13
In an experiment of tossing a coin and rolling a die, find the probability of obtaining a head and a six.
1/12
You draw two cards from a deck of 52 cards without replacement. Given that the first card drawn is an ace, what is the probability that the second card drawn is a king?
4/51
Two events such that each event affects the occurrence of the other are called _______________?
Dependent Events
What is the formula of Dependent Events
P(A ∩ B)=P(A) x P(B|A)
In a class of 50 students, 24 are male and 26 are female. During recognition, 5 male and 6 female students were awarded with honors. If a student is randomly chosen from the class, what is the probability of selecting either a female student or an honor student?
31/50
A bag contains 5 red balls, 3 blue balls, and 2 green balls. Two balls are drawn randomly without replacement. What is the probability that the first ball is red and the second ball is blue?
1/6
A survey shows 70% of students play basketball, 50% play volleyball, and 30% play both sports. What is the probability that a student plays basketball, given that they play volleyball?
0.60
What do you call a ratio that compares the number of favorable outcomes to the number of possible outcomes or the ratio of the event to the sample space?
Probability
What is the formula of Independent Events?
P(A ∩ B)=P(A) x P(B)
A bag contains 30 marbles: 10 blue, 8 yellow, and 12 red. You draw one marble from the bag. What is the probability that the marble is either blue or not red?
3/5
In a deck of 52 cards, 13 are spades, 13 are hearts, 13 are diamonds, and 13 are clubs. If two cards are drawn without replacement, what is the probability that both cards are spades?
1/17
A student takes two tests: a semi-final exam and a final exam. The probability of passing the semi-final exam is 0.60, and the probability of passing the final exam is 0.50. The probability of passing both exams is 0.40. What is the probability that the student passes the final exam, given that they passed the semi-final exam?
0.67
It is a diagram representing mathematical or logical sets pictorially as circles or closed curves within an enclosing rectangle, common elements of the sets being represented by the areas of overlap among the circles.
Venn diagram
What is the formula of Conditional Probability?
𝑃(𝐴|𝐵) = 𝑃(𝐴∩𝐵)/𝑃(𝐵)
A spinner has 16 equally sized sections, numbered 1 through 16. What is the probability of spinning either an even number or a number divisible by 4?
1/2
In an experiment of tossing a coin and rolling a die, find the probability of obtaining a tail and an even number.
1/4
The markers in a pencil case are differently colored. There’s red, orange, yellow, green, blue, violet, brown, black, pink, white, gold, and gray. Without looking at the colors, you take a marker at random. What is the probability that a brown marker was drawn if the color of the marker is a 5-letter word?
1/4