A six sided number cube is rolled and a coin is flipped. What is e probability that the number on the cube is less than 4 and the coin lands on heads? I think the answer might be 1/3. Heads and tails is 1 and less than 4 is 3. I am not sure.
Brandon flips two fair coins multiple times and records the frequency of the results in the following table.
50 trials|125trials|150trials
HH 10 33 37
TH 9 31 38
HT 13 28 38
TT 18 33 37
DETERMINE THE EXPERIMENTAL PROBABILITY AND THEORETICAL PROBABILITY FOR EACH OUTCOME IN EACH SET OF BRANDON'S TRIALS. HOW DO THE EXPERIMANTAL PRBABILITY AND THEORECTICAL PROBABILITY RELATE TO EACH OTHER FOR EACH OF THE 3 SETS OF TRIALS?
Explain your answer, providing calculations or any other strategy that will support your reasoning.
Thank you for your help. :)
I think the first question, A six sided number cube is rolled and a coin is flipped. What is e probability that the number on the cube is less than 4 and the coin lands on heads?
I think the answer is 1/4.
1/2 * 1/2 is .25 which is 1/4 I think I got it :O
To calculate the probability of two independent events occurring together, you multiply the individual probabilities.
In this case, the probability of getting a number on the cube less than 4 is 3 out of 6, since there are three numbers (1, 2, and 3) that satisfy this condition.
The probability of the coin landing on heads is 1 out of 2.
To find the probability of both events happening together, multiply these probabilities:
(3/6) * (1/2) = 3/12 = 1/4
Therefore, the probability that the number on the cube is less than 4 and the coin lands on heads is 1/4, not 1/3.
To find the probability that the number on the cube is less than 4 and the coin lands on heads, you need to determine the number of favorable outcomes and the total number of possible outcomes.
Step 1: Determine the number of favorable outcomes:
The cube has 6 sides. Since we want the number on the cube to be less than 4, the favorable outcomes are 1, 2, and 3. There are 3 favorable outcomes.
Step 2: Determine the total number of possible outcomes:
The cube has 6 sides, so it can land on any number from 1 to 6. The coin has 2 sides, so it can land on either heads or tails. Therefore, the total number of possible outcomes is 6 (for the cube) multiplied by 2 (for the coin), which equals 12.
Step 3: Calculate the probability:
The probability of an event is the number of favorable outcomes divided by the total number of possible outcomes. In this case, the probability is:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 3 / 12
Simplifying the fraction, we get:
Probability = 1 / 4
So, the correct answer is 1/4, not 1/3.