Geometric Probability Nan Lin 1 Warmup problems 1. A six-sided die is rolled, find the probability that an even number is obtained. 2. If a box contains two yellow balls and one red, what is the probability of drawing a red and a yellow if two balls are drawn? 3. Three six-sided dice are rolled. What is the probability that at least one comes up with a 5 or 6? 4. There is a 20% chance it will rain today. If it rains, there is a 10% chance that we will be allowed to go outside; otherwise, there is an 80% chance we will be able to go outside. What is the probability that we will be allowed to go outside?

Q: 2. If you roll two dice, what is the probability that the sum of the two numbers is 10?

A: If you roll two dice than the possible total no.of outcomes are  36.

Q: A fair, 12-sided die with the numbers 1, 2, 3, ..., 12 on the faces is rolled. What is the…

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Q: Suppose you roll three dice. What is the probability that the smallest number seen is five?

A: Solution: From the given information, three dice are rolled.

Q: A pair of standard dice are rolled. what is the probability of observing the following  A. the sum…

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Q: You roll a blue and a green die. If the sum of the two dice is 6, what is the probability that the…

A: The sample space of the sum of two dices is

Q: A coin is tossed and a single 6-sided dice is rolled. Find the probability of getting the head side…

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Q: If you roll a fair six-sided die, what is the probability of rolling a number greater than 4? A. 1/6…

A: Step 1: Step 2: Step 3: Step 4:

Q: There are 5 green, 3 red, and 2 blue balls inside a jar. What is the probability of getting a red…

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: If you roll two six-faced dice together, you will get 36 possible outcomes. 1. List all possible…

A: Number of Possible outcome=62=36

Q: Averie and Oscar both have freckles (a dominant trait). Their first child, Pat, does not have…

A: Given, Averie and Oscar both have freckles (a dominant trait). Their first child, Pat, does not have…

Q: Three six-sided dice are rolled. What is the probability that the sum on the dice faces equals 4?

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Q: 4 5 6 7 8 2 What is the probability of rolling a 3 and then an even number? 1 16 1. 112 510o1108

A: Here we are given the numbers; 1 2 3 4 5 6 7 8 We have one 3 and 8 different numbers. Hence…

Q: You roll a die twice. a. The sum of the outcomes is 5. What is the probability the first roll was a…

A: Given,Event:- Roll a die twice.We need to find,(a) The probability the first roll was a three, given…

Q: pair of dice is rolled. What is the probability that their sum is odd or less than 8?

A: