charlotte is going to flip 3 quarters and lists the sample space in a tree diagram how many outcomes are possible from flipping 3 quarters?
1/2
4
8
64
8
Explanation:
When flipping 3 quarters, each quarter can land either heads or tails, giving 2 possible outcomes for each flip. With 3 flips, the total number of possible outcomes is 2 x 2 x 2 = 8.
tree diagram:
1st flip = HT
2nd flip = HTHT
3rd flip = HTHTHTHT
outcomes = HHH HHT HTH HTT THH THT TTH TTT
In this case, we can see that the tree diagram shows all possible outcomes from flipping 3 quarters. There are a total of 8 outcomes:
HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
Therefore, the correct answer is 8.
what is the probability that all 3 quarters will land showing the same side? (use the tree diagram for help)
From the tree diagram provided:
- The outcomes where all 3 quarters land showing the same side are:
HHH and TTT
- Total number of outcomes = 8
- Number of favorable outcomes = 2 (HHH and TTT)
Therefore, the probability that all 3 quarters will land showing the same side is 2/8 = 1/4 = 0.25
Javon and micah are creating a simulation. they know that aproximatley 20% of the students in the class have blue eyes. which on the simulations represent a 20% chance of selecting a student with blue eyes. select all that apply.
Placing 20 prices in bag and 10 say bkue
placing 40 prices in bag and 4 say blue
placing 50 pieces in a bag andd 10 say blue
placing 100 pieces in a bag and 20 say blue
placing 25 pieces ina bag and 5 say blue
Placing 20 pieces in a bag and 10 of them say blue. (The proportion of blue pieces to total pieces matches the 20% chance of selecting a student with blue eyes)
Placing 100 pieces in a bag and 20 of them say blue. (The proportion of blue pieces to total pieces matches the 20% chance of selecting a student with blue eyes)
part 1:
6 yellow balls
2 red balls
4 green balls
Using the amounts above what is the theoretical probability of picking a yellow ball in simplest form?
part 2:
Joan picks a random counter out of the bag 10 times and he got a yellow ball 7 times what is the experimental probabiloity of picking a yellow?
Part 1:
Total number of balls = 6 yellow + 2 red + 4 green = 12 balls
Number of yellow balls = 6
Theoretical probability of picking a yellow ball = Number of favorable outcomes / Total number of outcomes
Theoretical probability of picking a yellow ball = 6 / 12 = 1 / 2
Therefore, the theoretical probability of picking a yellow ball is 1/2.
Part 2:
Experimental probability = Number of times an event occurs / Total number of trials
Experimental probability of picking a yellow ball = 7 yellow balls picked / 10 trials
Experimental probability of picking a yellow ball = 7 / 10 = 0.7
Therefore, the experimental probability of picking a yellow ball is 0.7 or 70%.