I am doing an assignment on probability. It sais.. "By the start of the 21st century, only 1 in 6 babies in America was born with blue eyes. What is the probability that at least 1 out of 2 babies has blue eyes? And then it sais " What might be a good model for simulating the probability of a baby being born with blue eyes in 2000? I put a dice, and then it asks, "How could you assign numbers to model this situation? " I don't get that. It also says " Describe a trial of this simulation. I don't get what I am supposed to be doing. Help?
in 1900, half of the babies born in America were born with blue eyes. Which simulation could be used to find the probability that 3 out of 4 babies born had blue eyes? A.) Toss a coin two times B.) Spin a spinner with 4 equal sections two times C.) Roll a six sided number cube two times******* D.) Picks a card from 10 cards two times. Just making sure I'm correct on this one. Thanks!!
To find the probability that at least 1 out of 2 babies has blue eyes, you can use the concept of complementary probability. The complementary probability is the probability of the opposite event. In this case, the opposite event is that none of the babies have blue eyes.
Since the probability of a baby in America being born with blue eyes is 1 in 6, the probability of a baby not having blue eyes is 1 - (1/6) = 5/6.
Now let's calculate the probability of none of the babies having blue eyes out of two babies:
P(no blue eyes) = (5/6) * (5/6) = 25/36
Since we want to find the probability of at least 1 out of 2 babies having blue eyes, we can subtract the probability of none of the babies having blue eyes from 1:
P(at least 1 blue eye) = 1 - P(no blue eyes) = 1 - 25/36 = 11/36
Therefore, the probability that at least 1 out of 2 babies has blue eyes is 11/36.
Regarding the simulation of the probability of a baby being born with blue eyes in 2000, using a dice as a model might not be the best choice. A better model could be a random number generator that generates numbers from 1 to 6, representing the 6 possible eye colors.
To assign numbers to model this situation, you can assign a range of numbers to each eye color. For example:
1-2: Blue
3-4: Brown
5-6: Other colors
This way, you can simulate the probability of a baby being born with blue eyes using the random number generator.
For a trial of this simulation, you would generate a random number (1 to 6) that represents the eye color for one baby. Repeat this process for the second baby. If at least one of them gets a number in the range for blue eyes (1-2), then count it as a success. Repeat this trial multiple times to get a better estimate of the probability of at least one baby having blue eyes.