a math class has 50 students , of these 22 students are math majors and 18 students are male. Of the math majors 16 are female. Find the probability that a randomly selected student is male or a math major .
my answer
22/50 and 18/50 = 396/50= 7.29
Either or probabilities are found by adding the various probabilities.
Which events are not independent?
A. You draw two colored marbles without replacement and get one red and one blue.
B. You pull a green tile from a bag of tiles, return it, and then pull a yellow tile.
C. You toss two coins and get one head, one tail.
D. You choose two different ice cream flavors for a cone.
A and B are not independent events.
Ok so which one?
A and B.
Can you just give me one either A or B
Sure. A - drawing two colored marbles without replacement is not an independent event.
If two coins are tossed, what is the probability that the first coin will show heads and the second coin will show tails?
A. 1/2
B. 1/4
C. 1/8
D. 1/16
The probability of getting a head on the first coin is 1/2. The probability of getting a tails on the second coin is also 1/2, since the coin tosses are independent events. Therefore, the probability of getting a heads on the first coin and a tails on the second coin is:
1/2 × 1/2 = 1/4
So, the answer is B. 1/4.
On Friday nights the local diner serves three main entrées, each with a choice of vegetable.
The entrées are beef, chicken, and fish. The vegetables are spinach, broccoli, and carrots. How many possible dinners (entree and vegetable combinations) does the diner serve? List them.
There are three entrée options: beef, chicken, and fish.
There are three vegetable options: spinach, broccoli, and carrots.
Using the multiplication principle, the number of possible dinner combinations is:
3 entrée options × 3 vegetable options = 9 possible dinner combinations
These combinations are:
1. Beef with spinach
2. Beef with broccoli
3. Beef with carrots
4. Chicken with spinach
5. Chicken with broccoli
6. Chicken with carrots
7. Fish with spinach
8. Fish with broccoli
9. Fish with carrots
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Marissa is researching information about martial arts students. She found that 7 out of 12 martial artists practice every day. There are 144 martial arts students at a school. practice every day. There are 144 martial arts students
a. Predict how many students practice every day.
b. What is the sample size?
a. To predict how many students practice every day, we can use a proportion. We know that 7 out of 12 martial artists practice every day. We can set up a proportion to find out how many students out of the 144 total practice every day:
7/12 = x/144 (where x is the number of students who practice every day)
To solve for x, we can cross-multiply and simplify:
12x = 7 × 144
x = (7 × 144)/12
x = 84
Therefore, we can predict that 84 martial arts students practice every day.
b. The sample size is the total number of martial arts students at the school, which is given as 144.
Enter your answer and show all the steps that you use to solve this problem in the space provided.
You roll a number cube twice. Find P(even, then not 2). Write the probability as a fraction in simplest form.
There are six possible outcomes when rolling a number cube: 1, 2, 3, 4, 5, or 6. Three of these outcomes are even: 2, 4, and 6. Four of these outcomes are not 2: 1, 3, 4, 5.
To find the probability of rolling an even number first, and then not rolling 2, we need to multiply the probabilities of each individual event:
P(even, then not 2) = P(even) × P(not 2 | even)
P(even) = number of even outcomes/total number of outcomes = 3/6 = 1/2
P(not 2 | even) = number of outcomes that are not 2 and even/total number of even outcomes = 2/3
Therefore, P(even, then not 2) = (1/2) × (2/3) = 1/3
So, the probability of rolling an even number first, and then not rolling 2 is 1/3.
Enter your answer and show all the steps that you use to solve this problem in the space provided.
A number cube is rolled 450 times. The number 3 comes up 67 times.
a. What is the theoretical probability of rolling a 3? Write your answer as a fraction in simplest form.
b. What is the experimental probability of rolling a 3? Write your answer as a fraction in simplest form.
a. The theoretical probability of rolling a 3 is the number of ways that a 3 can come up on the number cube divided by the total number of possible outcomes. Since the number cube has six faces, each with a different number from 1 to 6, there is one way to get a 3 and five other possible outcomes. Therefore, the theoretical probability is:
P(rolling a 3) = number of ways to get a 3/total number of possible outcomes = 1/6
So, the theoretical probability of rolling a 3 is 1/6.
b. The experimental probability of rolling a 3 is the number of times that a 3 actually came up divided by the total number of rolls. We are given that the number 3 came up 67 times out of 450 rolls. Therefore, the experimental probability is:
P(rolling a 3) = number of times a 3 came up/total number of rolls = 67/450
To simplify this fraction, we can divide the numerator and denominator by their greatest common factor, which is 1:
P(rolling a 3) = 67/450
So, the experimental probability of rolling a 3 is 67/450.
You mix the letters M, A, T, H, E, M, A, T, I, C, A, and L thoroughly. Without looking, you draw one letter.
Find the probability P(A). Write the probability as:
a. a fraction in simplest form
b. a decimal
c. a percent
There are 12 letters in total, and 2 of them are A's. Therefore, the probability of drawing an A is:
a. P(A) = 2/12 = 1/6 (The fraction is already in its simplest form.)
b. P(A) = 0.1666... (rounded to 4 decimal places)
c. P(A) = 16.66...% (rounded to 2 decimal places)