Use the sample space shown in the figure to find the probability for the experiment of rolling a pair of dice. P(four or six)

Q: 16. Consider the experiment of rolling a pair of dice. Suppose that we are interested in the sum of…

A: Since you have posted many questions, we will solve the first one and request you to repost the…

Q: In a carnival game, you roll a number cube and flip a coin. The sides of the die contain the numbers…

A: Introduction: It is required to find the probability of winning the game by scoring 10 or more…

Q: Use the sample space shown in the figure to find the probability for the experiment of rolling a…

A: From the sample given we have a total of 36 possibilities

Q: In this game, players spin the wheel to see if they win! The wheel features 20 equal-sized sections.…

A: Total number of sections =20 Number of sections with no prizes =14 Number of sections with small…

Q: Can you help me, please?   (not graded, for learning purposes only)

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: K A coin is tossed 12 times. Find the probability of tossing five or six tails. The probability of…

A: toss coin 12 times P(head) = P(tail) = 0.5 x = no. of tails P(x=X) = nCx(p)x(q)(n-x)

Q: Which counting method should you use to find the compound probability? Explain.   What is the…

A: here given, The math club needs to choose four people for a committee to represent it at the school…

Q: A car dealership has 8 ​red, 14 ​silver, and 5 black cars on the lot. Ten cars are randomly chosen…

A: Given,no.of red cars=8no.of silver cars=14no.of black cars=5Total no.of cars=27

Q: John runs a computer software store. He counted 124 people who walked by his store in a day, 52 of…

A: Given information is ;  n(sample space ) = number of peoples who walked by his store  =124 n(A) =…

Q: One pen is chosen without looking from a bag that has 3 blue pens, 6 red, and 3 green. Find the…

A: Let n be the number of samples n=3+6+3 n=12 1. P(green) P(green)=312              =14(in fraction)…

Q: Interpretation A sample space consists of 4 simple events: A, B, C, D. Which events  comprise the…

A: Sample space consist the set of all possible unique outcomes. The probability of sample space is 1.…

Q: find the probability of randomly selecting a student who spent the money, given that the student was…

A: The contingency table is obtained as,   Purchased gum Kept the money Row total…

Q: n a large population, 46% of the households own DVD recorders. A simple random sample of 100…

A: It is given that n=100 and p=0.46.

Q: The entire senior class ata high school voted on the color for their class T-shirt. The results are…

A: Given data,   P(Yellow)=?

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.