Louise flipped four coins and counted the number of times the coins came up either all heads or all tails. If she completed 70 trials and got 11 successes, what is the expected value of either all heads or all tails if she flips the coins 100 times?
Question
Louise flipped four coins and counted the number of times the coins came up either all heads or all tails. If she completed 70 trials and got 11 successes, what is the expected value of either all heads or all tails if she flips the coins 100 times?
Solution
To solve this problem, we first need to calculate the probability of success in one trial.
-
Calculate the probability of success in one trial: Louise had 11 successes in 70 trials. So, the probability of success (P) in one trial is 11/70 = 0.1571.
-
Calculate the expected value for 100 trials: The expected value (E) is calculated by multiplying the total number of trials by the probability of success. So, E = 100 * 0.1571 = 15.71.
Therefore, if Louise flips the coins 100 times, we would expect her to get either all heads or all tails approximately 16 times (since we usually round to the nearest whole number in such cases).
Similar Questions
A fair coin has two sides, heads or tails.The coin is flipped 80 times.Which result is most likely to happen?A73 tailsB10 tailsC42 tailsD59 tails
Suppose you are conducting an experiment by tossing two coins simultaneously. You define a random variable X as the number of tails you get in each trial of the experiment. What is the expected value of X?
Four unbiased coins are tossed simultaneously. The expected number of heads is :X: 0 1 2 3 4P(x) 1/16 4/16 6/16 4/16 1/16(a) 1(b) 2(c) 3(d) 4
Expected ValueSuppose you are conducting an experiment by tossing two coins simultaneously. You note down the number of tails in each toss. How many tails can you expect on average in each experiment?Note: Round off your answer to two decimal places. If your answer is 1.333333, write 1.33 in the box.
How many different possible outcomes are there if you flip four coins?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.