Discrete Math: Discrete Probability
What is the probability of rolling a 3 on a standard six-sided die?
What is the probability of spinning a 12 on a spinner with 16 equally sized sectors?
What is the probability of spinning a blue on a spinner with 5 blue sectors and 11 yellow sectors?
What is the probability of drawing a green marble from a bag containing 3 green marbles, 7 yellow marbles, and 1 white marble?
Jane tosses two fair coins. What is the probability of getting exactly one head?
Given a deck of 52 cards, what is the probability of drawing three Aces and two Jacks?
I toss a coin and then I roll a six-sided die. What is the sample space?
If you have a couple and they have two different children, and you know that at least one of those children is a girl, what is the probability that both of the children are girls?
Calculate the probability of it raining during a picnic given that it is cloudy in the morning using Bayes' Theorem. You know the probability of rain on any given day is 0.15, the probability of it being cloudy in the morning on any given day is 0.25, and the probability of it being cloudy if it rains is 0.8.
What is the probability that you're an alcoholic given that you're a male?
There are 500 students in a certain School. 150 students are enrolled in an algebra course and 80 students are enrolled in a chemistry course. There are 30 students who are taking both algebra and chemistry. If a student is chosen at random, what is the probability that the student is taking algebra?
What is the probability that the student is taking chemistry given that the student is also taking algebra?
What is the probability that the student is taking algebra given that the student is also taking chemistry?
There are 200 birds in a zoo. 70 birds are male with brown eyes and 100 birds are female with brown eyes. 20 of the birds are male with blue eyes and 10 birds are female with blue eyes.
If a bird is selected at random, what is the probability that the bird is a female?
What is the probability of selecting a bird that is a male with brown eyes?
What is the probability that the bird is female given that it has brown eyes?
What is the probability that the bird is male given that it has blue eyes?
What is the probability that the bird is a creature with blue eyes given that it's a female?
For a military mission, engineers are creating an expensive system reliant on a fragile component with a failure probability of 0.32. With 6 installed components working independently in parallel, what is the probability that exactly one of these components works?
A certain union chapter has 32 male and 26 female members, totaling 58 members. If a committee of 7 people is randomly selected, what is the probability that the committee has exactly 6 women?