Mr and Mrs Chen have three children. suppose the chance of having wither a boy or girl is 50%. what is the probability of having two boys and one girl? 2/9?

a survey with 104 responses asked what is your favorite winter activity the results are listed in tabel
if 500 ppl had responded, how many would have been expected tp list sledding as their favorite winter activity round answer to nearest whole number? 156?

a number cube is tossed 20 times and lands on 1 two times and 5 four times
what is the theoretical probability of landing on 1? 1/6?

a bag contains 4 green tokens, 2 red tokens, and 4 purple tokens. lisa drew a token out of the bag, recorded the result and then put the token back into the bga. she did thid 30 times and recorded the results in a bar graph. use this informtaion to answer following question suppose lisa repeates the experiment an additional 250 times and records the result. about how many time would you expect her to draaw a green token? 100?

Right or wrong??? Thanks in advance!!!!!

The chance of having a boy or girl each time is 1/2 so wouldn't you just say

1/2 * 1/2 *1/2 * 1/2 = 1/16 chances of having 2 boys and 2 girls because each of the 4 times it would be 1/2 to have one or the other so it doesn't change just because of what you had previous so you multiply your chances each time

the number cube question

Assuming the die (number cube) is fair, any side is equally probable. Therefore the probability of landing on "1" is 1/6. The key here is that the tosses are independent: The previous tosses have no impact on the result of the next toss.
So yes you are correct 1/6

so its 1/16?

oh thanks

The answers you provided are mostly correct. Here's a breakdown for each question:

1. Mr and Mrs Chen have three children. The probability of having a boy or a girl is 50%. To calculate the probability of having two boys and one girl, we use the binomial probability formula. The probability is calculated as (number of favorable outcomes) / (total number of outcomes). In this case, the favorable outcome is having two boys and one girl and the total number of outcomes is 2^3 (as there are 2 possibilities for each child). Therefore, the probability is (3 choose 2) / 2^3 = 3/8, which is not equal to 2/9.

2. The survey had 104 responses and asked about favorite winter activities. To calculate the expected number of people who would list sledding as their favorite activity, we need to find the proportion of people who listed sledding as their favorite activity in the original survey and then apply that proportion to the total number of responses (500). The proportion is 104/500, which is approximately 0.208. Multiplying this proportion by 500 gives us the expected number of people who would have listed sledding, which is approximately 104.

3. The number cube is tossed 20 times, resulting in 2 outcomes of landing on 1 and 4 outcomes of landing on 5. The theoretical probability of landing on 1 can be calculated by dividing the number of successful outcomes (2) by the total number of possible outcomes (6). Therefore, the probability is 2/6, which simplifies to 1/3, not 1/6.

4. In the given scenario, Lisa drew a token out of the bag 30 times. The expected number of times she would draw a green token can be calculated by finding the proportion of green tokens in the original sample (4/10) and then multiplying it by the total number of additional experiments (250). Therefore, the expected number of times she would draw a green token is (4/10) * 250 = 100.

So, your answers for questions 1, 2, and 4 are correct. However, your answer for question 3 is incorrect.