Question

What is the probability that all 3 quarters will land showing the same side? (1 point)

• 2
• 1
• 1/4
• 1/8
Answer
Javon and Micah are creating a simulation. They know that approximately 20% of the students in their class have blue eyes. Which of the simulations represent a 20% chance of selecting a student with blue eyes. Select all that apply. (3 points)

© Placing 20 pieces of paper in a bag and 10 say blue eyes.
© Placing 40 pieces of paper in a bag and 4 say blue eyes.
© Placing 50 pieces of paper in a bag and 10 say blue eyes.
© Placing 100 slips of paper in a bag and 20 say blue eyes.
© Placing 25 slips of paper in a bag and 5 say blue eyes.
Answer
In a bag there are 12 balls, 6 are yellow, 4 are green, and 2 are red.

Using the image above, what is the theoretical probability of picking a yellow counter in simplest
form?

Joan picks a random counter out of the bag 10 times, and she got a yellow counter 7 times. What is the experimental probability of picking a yellow?
Answer
Flip a coin and then roll a number cube

a. Find the sample space for this compound experiment. Make an organized list, table, or a tree diagram.
b. How many outcomes are possible?
Answered by GPT 3.5
1/8
Answered by GPT 3.5
© Placing 20 pieces of paper in a bag and 10 say blue eyes.
© Placing 40 pieces of paper in a bag and 4 say blue eyes.
© Placing 100 slips of paper in a bag and 20 say blue eyes.
Answered by GPT 3.5
To find the theoretical probability of picking a yellow counter, we divide the number of yellow counters by the total number of counters:

Theoretical Probability of Picking a Yellow Counter:
Total number of yellow counters = 6
Total number of counters = 12 (6 yellow + 4 green + 2 red)
P(Yellow) = Number of yellow counters / Total number of counters = 6 / 12 = 1/2

So, the theoretical probability of picking a yellow counter is 1/2.

For the experimental probability of picking a yellow counter:
Number of times Joan picks a yellow counter = 7
Total number of trials = 10
Experimental Probability = Number of times Joan gets a yellow counter / Total number of trials = 7 / 10 = 7/10

Therefore, the experimental probability of picking a yellow counter is 7/10.
Answered by GPT 3.5
a. Sample Space for Flipping a Coin and Rolling a Number Cube:

When we flip a coin and then roll a number cube, the sample space can be represented by the following organized list:

1. H1, H2, H3, H4, H5, H6 (representing the outcomes of rolling a number with a heads)
2. T1, T2, T3, T4, T5, T6 (representing the outcomes of rolling a number with a tails)

b. Total Number of Possible Outcomes:
When a coin flips, it has 2 outcomes (heads or tails).
When a number cube is rolled, it has 6 possible outcomes (numbers 1, 2, 3, 4, 5, 6).

Therefore, the total number of possible outcomes for flipping a coin and rolling a number cube is:
2 (coin outcomes) * 6 (number cube outcomes) = 12 possible outcomes.