Question

Suppose you toss a coin 100 times. Should you expect to get exactly 50 heads? Why...

Suppose you toss a coin 100 times. Should you expect to get exactly 50 heads? Why or why not?

A. Yes, because the number of tosses is even, so if the coin is fair, half of the results should be heads.
B. No, because the chance of heads or tails is the same, the chance of any number of heads is the same.
C. No, there will be small deviations by chance, but if the coin is fair, the result should be close to 50 heads
D. Yes, because the chance of heads or tails is the same, the number of heads and the number of tails should be the same.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose you toss a fair coin​ 10,000 times. Should you expect to get exactly 5000​ heads?...
Suppose you toss a fair coin​ 10,000 times. Should you expect to get exactly 5000​ heads? Why or why​ not? What does the law of large numbers tell you about the results you are likely to​ get? Choose the correct answer below. 1)Should you expect to get exactly 5000​ heads? Why or why​ not? A)You​ shouldn't expect to get exactly 5000​ heads, because you cannot predict precisely how many heads will occur. B.You​ shouldn't expect to get exactly 5000​ heads,...
Suppose you toss a fair coin three times. Which of the following events are independent? Give...
Suppose you toss a fair coin three times. Which of the following events are independent? Give mathematical justification for your answer.     A= {“heads on first toss”}; B= {“an odd number of heads”}. A= {“no tails in the first two tosses”}; B=     {“no heads in the second and third toss”}.
Alan tosses a coin 20 times. Bob pays Alan $1 if the first toss falls heads,...
Alan tosses a coin 20 times. Bob pays Alan $1 if the first toss falls heads, $2 if the first toss falls tails and the second heads, $4 if the first two tosses both fall tails and the third heads, $8 if the first three tosses fall tails and the fourth heads, etc. If the game is to be fair, how much should Alan pay Bob for the right to play the game?
I toss a coin two times. X1 is the number of heads on the first toss....
I toss a coin two times. X1 is the number of heads on the first toss. X2 is the number of heads on the second toss. Find the mean of X1. Find the variance of X1. Find the mean of X1 + X2. (This is the number of heads in 2 tosses.) Find the variance of X1 + X2. If you tossed 10 coins, how many heads would you expect? What is the variance of the number of heads?
(a) A fair coin is tossed five times. Let E be the event that an odd...
(a) A fair coin is tossed five times. Let E be the event that an odd number of tails occurs, and let F be the event that the first toss is tails. Are E and F independent? (b) A fair coin is tossed twice. Let E be the event that the first toss is heads, let F be the event that the second toss is tails, and let G be the event that the tosses result in exactly one heads...
You toss a coin 192 times. Find the probability that exactly 96 of the 192 tosses...
You toss a coin 192 times. Find the probability that exactly 96 of the 192 tosses will be heads.
You toss a fair coin four times. The probability of two heads and two tails is
You toss a fair coin four times. The probability of two heads and two tails is
(a) Use the central limit theorem to determine the probability that if you toss a coin...
(a) Use the central limit theorem to determine the probability that if you toss a coin 50 times, you get fewer than 20 heads. (b) A coin is continuously tossed until the heads come up 20th time. Use the central limit theorem to estimate the probability that more than 50 coin tosses are required to get the 20th head. (c) Compare your answers from parts (a) and (b). Why are they close but not exactly equal?
Suppose you toss an unfair coin 8 times independently. The probability of getting heads is 0.3....
Suppose you toss an unfair coin 8 times independently. The probability of getting heads is 0.3. Denote the outcome to be 1 if you get heads and 0 if you get tails. 1.Write down the sample space. 2. What is the probability of the event that you get a head or a tail at least once? 3. If you get 8 same toss you will get x dollars, otherwise you will lose one dollar. On average, how large should x...
If you flip a fair coin and get heads 10 times in a row, what is...
If you flip a fair coin and get heads 10 times in a row, what is the chance of getting tails on the next flip? Explain.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT