Assignment:
Q1. Suppose you have 4 nickels, 6 dimes, and 4 quarters in your pocket. If you draw a coin randomly from your pocket, what is the probability that
a. You will draw a dime?
b. You will draw a nickel?
c. You will draw a quarter?
Q2. You are rolling a pair of dice, one red and one green. What is the probability of the following outcomes:
a. The sum of the two numbers you roll from the dice is 11.
b. The sum of the two numbers you roll is 6.
c. The sum of the two numbers you roll is 5.
Q3. A glass jar contains 6 red, 5 green, 8 blue and 3 yellow marbles. If a single marble is chosen at random from the jar, what is the probability of choosing a red marble? a green marble? a blue marble? a yellow marble?
Provide complete and step by step solution for the question and show calculations and use formulas.
The following items will be assessed in particular:
- Identify the meaning of independent and dependent events.
- Calculate probabilities and joint probabilities of simple events.
- Explain the basic logic of probability theory.
Provide complete and step by step solution for the question and show calculations and use formulas.