Two dice are thrown together. Use a tree diagram to find the probability that one number is even and the other is odd.

Q: e numbered 1, 2,  and 3. Three black cards are numbered 4,  5,  and 6. The cards are placed in a box…

A: Given: n(red) = 3 (1,2,3) n(black) = 3 (4,5,6) n(drawn) = 1

Q: A bag contains 6 red, 3 blue, and 7 yellow poker chips. You randomly choose 2 poker chips, one at a…

A:

Q: Suppose you have 10 tennis balls and you randomly pick some number of them. What is the probability…

A: Given the event that there are 10 tennis balls and one randomly pick some number of them.

Q: Please explain using Tree Diagram Ali flips 3 coins and Betty flips 2. Al wins if the number of…

A: In a fair coin toss, the probability of occurrence of a head is PH=0.5 and that of a tail is also,…

Q: If the probability that the Yankees will win a baseball game is 60%, find the probability that the…

A: The probability that Yankees will win a baseball game is 60%, that is PWinning=0.60.

Q: Three people are selected randomly from a group consisting of 5 parents and 9 children. Find the…

A: Ans# - Given three people are selected randomly from a group consisting of 5 parents and 9 children.…

Q: One card is drawn from a deck of 52 playing cards. Find the probability the card is a red Jack or…

A: In a pack of 52 playing cards,no.of red jack cards=2no.of black cards=26

Q: Find the probability of dealing two red cards from a standard deck of cards.

A: In a standard deck of cards, there are 52 cards in total out of which there are 26 red cards and 26…

Q: an urn contains 4 red balls and 6 green balls. pick a ball; keep it; pick another ball. then the…

A: No.of red balls=4 No.of green balls=6 Total no.of balls=10

Q: find the probability of being dealt a hand of four cards from a standard deck that contains all four…

A: find the probability of being dealt a hand of four cards from a standard deck that contains all…

Q: Find the probability of getting three of a kind when playing five card poker

A: Given Playing 5 card poker

Q: If the probability that it rains tomorrow in Manhattan is 50%, find the probability that it does NOT…

A: Given information Probability that it rains tomorrow in Manhattan p = 0.50

Q: You randomly select one card from a​ 52-card deck. Find the probability of selecting the king of…

A:

Q: you deal a hand of five cards from a regular deck of playing cards. find the probability of dealing…

A: In a standard deck of cards, there is a total of 52 cards. There are four suits: Spades, Diamonds,…

Q: Tereasa is about to draw a card at random from a standard deck of 52 playing cards. If she draws a…

A: A standard deck consists of 52 cards. n(S)=52 If she draws a red card or a face card she will win a…

Q: Calculate the probability of David winning the game contest if they are 18 boys and 15 girls…

A:

Q: family has three children. Find the probability the family has at most 1 boy.

A:

Q: A card is randomly selected from a 52 card deck. Find the probability that the card is a king or a…

A: We have to Find the probability that the card is a king or a diamond...

Q: Use the multiplication and addition rules to calculate the probability that Louise and Robert will…

A: For each child there are 2 options. Girl or boy.So for 4 children there are 2×2×2×2=16 options.…

Q: Determine the probability that the committee consists of six faculty and two administrators.

A:

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.