I'm re-posting corrections originally from Wednesday in addition to new ones. Still not sure how to answer #4.
2. Edwin rolls a number cube and then spins a color from a color card (red, yellow, blue, green, white). What is the probability that he will roll an even number and choose a red color?
Ans: P(even)*P(red)
= (1/2)*(1/5)
= 1/10 = 10%
3. A bag contains 5 blue marbles and 3 green marbles. What is the probability of drawing a blue marble followed by a green marble, with replacing the first marble before drawing the second marble?
Ans: P(blue)*P(green)
= (5/8)*(3/8)
= 15/64
= 23%
4. Edwin tossed a number cube several times. He got number '3' on 4 of the tosses. Based on theoretical probabilities, what is the best estimate of the total number of times he tossed the cube?
Ans: 3/(1/6) = 18 tosses?
new questions:
13. Make a list to show all of the possible outcomes when rolling a number cube and spinning a spinner with 4 sections red, yellow, green, blue.
Ans: 24 possible outcomes
#1 - red
#1 - yellow
#1 - green
#1 - blue
#2 - red
#2 - yellow
#2 - green
#2 - blue
#3 - red
#3 - yellow
#3 - green
#3 - blue
#4 - red
#4 - yellow
#4 - green
#4 - blue
#5 - red
#5 - yellow
#5 - green
#5 - blue
#6 - red
#6 - yellow
#6 - green
#6 - blue
15. Explain how you could simulate randomnly choosing an odd number from 1-6.
Ans: not sure understand 'simulate'. Does this mean randomly picking a number from a hat?
1-3 are correct
#4. you should have divided 4 by 1/6 to get 24
"3" was the event, it happened 4 times, so 4 is the important number
last one , I did not check the actual entries, but there are 24 of them
Thank you!!
To answer question #4, we need to estimate the total number of times Edwin tossed the cube based on the fact that he got the number '3' on 4 of the tosses. We can use theoretical probabilities to make this estimation.
The theoretical probability of getting a '3' on a number cube is 1/6, since there are 6 equally likely outcomes (numbers 1-6) and only one of them is a '3'.
To calculate the estimated total number of tosses, we divide the number of times Edwin got a '3' (which is 4) by the probability of getting a '3' on a single toss (which is 1/6).
So, the calculation would be: 4 / (1/6) = 24
Therefore, the best estimate for the total number of times Edwin tossed the cube is 24.
Now, let's move on to the new questions.
For question #13, you have a number cube and a spinner with 4 sections (red, yellow, green, blue). To determine all possible outcomes when rolling the number cube and spinning the spinner, you need to find the total number of combinations.
Since the number cube has 6 equally likely outcomes (numbers 1-6) and the spinner has 4 sections, you can multiply the number of outcomes for each to find the total number of possible outcomes.
6 (number cube outcomes) * 4 (spinner outcomes) = 24 possible outcomes
To list all the possible outcomes, you would pair each number on the number cube with each section on the spinner. Here is the list:
1 - red
1 - yellow
1 - green
1 - blue
2 - red
2 - yellow
2 - green
2 - blue
3 - red
3 - yellow
3 - green
3 - blue
4 - red
4 - yellow
4 - green
4 - blue
5 - red
5 - yellow
5 - green
5 - blue
6 - red
6 - yellow
6 - green
6 - blue
For question #15, simulating randomly choosing an odd number from 1-6 means replicating the process of selecting a number from 1 to 6, but with the condition that the selected number must be odd.
One way to simulate this is to use a random number generator that generates numbers from 1 to 6 with equal probability. Then, you can check if the generated number is odd. If it is, you can stop the simulation and consider that as the randomly chosen odd number. If it's not odd, you can repeat the process until an odd number is generated.
There are different programming languages and libraries that provide random number generation functions, so the specific implementation may vary depending on the language used.