I'm posting corrections from yesterday 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 #2 - red #3 - red
#1 - yellow #2 - yellow #3 - yellow
#1 - green #2 - green #3 - green
#1 - blue #2 - blue #3 - blue
#4 - red #5 - red #6 - red
#4 - yellow #5 - yellow #6 - yellow
#4 - green #5 - green #6 - green
#4 - blue #5 - blue #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?
To answer question #4, you can use the concept of probability to estimate the total number of times Edwin tossed the number cube. Since he got the number '3' on 4 of the tosses, you can divide this number by the probability of getting a '3' on a single toss. The theoretical probability of getting any specific number (such as '3') on a fair number cube is 1/6, since there are 6 equally likely outcomes. Therefore, the best estimate of the total number of times Edwin tossed the cube would be 4 divided by 1/6, which is equal to 18. So, the best estimate is that Edwin tossed the cube 18 times.
Now, moving on to the new questions:
13. To list all the possible outcomes when rolling a number cube and spinning a spinner with 4 sections (red, yellow, green, blue), you need to consider all the possible combinations of the outcomes. Since a number cube has 6 equally likely outcomes and the spinner has 4 equally likely outcomes, you can multiply the number of outcomes together to get the total number of possible outcomes. So, the number of possible outcomes is 6 (for the number cube) multiplied by 4 (for the spinner), which equals 24. Therefore, there are 24 possible outcomes when rolling the number cube and spinning the spinner.
15. To simulate randomly choosing an odd number from 1-6, you could use a random number generator or simulate the process by picking numbers from a hat. If you want to use a random number generator, you can generate a random number between 1 and 6 (inclusive) and check if it is an odd number. If it is not odd, you can keep generating new numbers until you get an odd number.
Alternatively, if you want to simulate the process by picking numbers from a hat, you can write the numbers 1, 3, 5 on separate pieces of paper and put them into a hat. Then, randomly select one piece of paper from the hat without looking, and the number on that piece of paper will represent the randomly chosen odd number from 1-6.