Homework Answers
Ans.
(19). When a fair of coin is toss 7 times, then there are number of all possible outcomes are
= 27 = 128
(20).The possible number of outcomes with exactly 3 heads
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Seven fair coins were flipped. 19. How many possible outcomes there will be, if the order...
Six fair coins were flipped. 15. How many possible outcomes there will be, if the order...
Six fair coins were flipped. 15. How many possible outcomes there will be, if the order of coins are considered? 16. How many possible outcomes with exactly 3 heads? 17. What is the probability of getting a result with exactly 3 heads? (Round to 4 decimal places, if needed.) What is the probability of getting a result with less than 2 head? (Round to 4 decimal places, if needed.) 18.
Five fair coins were flipped. 11. How many possible outcomes there will be, if the order...
Five fair coins were flipped. 11. How many possible outcomes there will be, if the order of coins are considered? 32 12. How many possible outcomes with exactly 3 heads? 13. What is the probability of getting a result with exactly 3 heads? (Round to 4 decimal places, if needed.) 14. What is the probability of getting a result with less than 2 head? (Round to 4 decimal places, if needed.)
Five fair coins were flipped. Part (a): How many possible outcomes there will be, if the...
Five fair coins were flipped. Part (a): How many possible outcomes there will be, if the order of coins are considered? Part (b): How many possible outcomes with exactly 3 heads? Part (c): What is the probability of getting a result with exactly 3 heads? (Round to 4 decimal places, if needed.) Part (d): What is the probability of getting a result with less than 2 head? (Round to 4 decimal places, if needed.)
Eight fair coins were flipped 21. How many possible outcomes there will be, if the order...
Eight fair coins were flipped 21. How many possible outcomes there will be, if the order of coins are considered? 22. How many possible outcomes with exactly 3 heads? 23. What is the probability of getting a result with exactly 3 heads? (Round to 4 decimal places, if needed.) What is the probability of getting a result with less than 2 head? (Round to 4 decimal places, if needed.) 24. 25. P(A)-0.35, P(B)-0.58, and P(A and B)-0.26, What is P(A...
Eight fair coins were flipped. 21. How many possible outcomes there will be, if the order...
Eight fair coins were flipped. 21. How many possible outcomes there will be, if the order of coins are considered? 22. How many possible outcomes with exactly 3 heads? 23. What is the probability of getting a result with exactly 3 heads? (Round to 4 decimal places, if needed.) What is the probability of getting a result with less than 2 head? (Round to 4 decimal places, if needed.) 24. 25. P(A)-0.35, P(B)-0.58, and P(A and B)-0.26, What is P(A...
Two fair dices were rolled. 27. How many possible outcomes there will be, if the order...
Two fair dices were rolled. 27. How many possible outcomes there will be, if the order of dices are considered? 28 How many possible outcomes there will be, if the sum of the dices are recorded? 29. What is the probability of getting a result with the sum exactly equals to 6? (Round to 4 decimal places, if needed 0 What is the probability of getting a result with the sum less than 6? (Round to 4 decimal places, if...
Two fair dices were rolled. Part (a): How many possible outcomes there will be, if the...
Two fair dices were rolled. Part (a): How many possible outcomes there will be, if the order of dices are considered? Part (b): How many possible outcomes there will be, if the sum of the dices are recorded? Part (c): What is the probability of getting a result with the sum exactly equals to 6? Part (d): What is the probability of getting a result with the sum less than 6?
QUESTION 1 A fair coin is flipped 10 times. It is either heads or tails on landing. Choose true statements. There are exactly 45 outcomes containing exactly two heads There are exactly 1024 possible...
QUESTION 1 A fair coin is flipped 10 times. It is either heads or tails on landing. Choose true statements. There are exactly 45 outcomes containing exactly two heads There are exactly 1024 possible outcomes. There are exactly 252 outcomes containing five head and five tails. There are exactly 176 outcomes containing at most three tails QUESTION 2 Choose the correct statements. There are 2(n!)2 ways to order n men and n women if men and women alternate as in...
4. Consider three coins being flipped - 8 possible outcomes (H,H,H), (H,H,T),... (T,T,T)} where "H" and "T" refer t...
4. Consider three coins being flipped - 8 possible outcomes (H,H,H), (H,H,T),... (T,T,T)} where "H" and "T" refer to the head and tail of each coin. In this exercise, we are going to call each outcome a "microstate" of this three-coin system. (a) What is the probability to have two heads for the 3-coin system? (b) If there are N coins, rather than three, how many microstates are possible? (c) For an N-coin system, the number of microstates associated with...
1.a. Imagine that you are flipping 3 coins. How many possible outcomes (arrangement of coins) can...
1.a. Imagine that you are flipping 3 coins. How many possible outcomes (arrangement of coins) can there be when flipping 3 coins? (Think outcomes not microstates) _____ outcomes
Six fair coins were flipped. 15. How many possible outcomes there will be, if the order of coins are considered? 16. How many possible outcomes with exactly 3 heads? 17. What is the probability of getting a result with exactly 3 heads? (Round to 4 decimal places, if needed.) What is the probability of getting a result with less than 2 head? (Round to 4 decimal places, if needed.) 18.
Five fair coins were flipped. 11. How many possible outcomes there will be, if the order of coins are considered? 32 12. How many possible outcomes with exactly 3 heads? 13. What is the probability of getting a result with exactly 3 heads? (Round to 4 decimal places, if needed.) 14. What is the probability of getting a result with less than 2 head? (Round to 4 decimal places, if needed.)
Eight fair coins were flipped 21. How many possible outcomes there will be, if the order of coins are considered? 22. How many possible outcomes with exactly 3 heads? 23. What is the probability of getting a result with exactly 3 heads? (Round to 4 decimal places, if needed.) What is the probability of getting a result with less than 2 head? (Round to 4 decimal places, if needed.) 24. 25. P(A)-0.35, P(B)-0.58, and P(A and B)-0.26, What is P(A...
Eight fair coins were flipped. 21. How many possible outcomes there will be, if the order of coins are considered? 22. How many possible outcomes with exactly 3 heads? 23. What is the probability of getting a result with exactly 3 heads? (Round to 4 decimal places, if needed.) What is the probability of getting a result with less than 2 head? (Round to 4 decimal places, if needed.) 24. 25. P(A)-0.35, P(B)-0.58, and P(A and B)-0.26, What is P(A...
Two fair dices were rolled. 27. How many possible outcomes there will be, if the order of dices are considered? 28 How many possible outcomes there will be, if the sum of the dices are recorded? 29. What is the probability of getting a result with the sum exactly equals to 6? (Round to 4 decimal places, if needed 0 What is the probability of getting a result with the sum less than 6? (Round to 4 decimal places, if...
QUESTION 1 A fair coin is flipped 10 times. It is either heads or tails on landing. Choose true statements. There are exactly 45 outcomes containing exactly two heads There are exactly 1024 possible outcomes. There are exactly 252 outcomes containing five head and five tails. There are exactly 176 outcomes containing at most three tails QUESTION 2 Choose the correct statements. There are 2(n!)2 ways to order n men and n women if men and women alternate as in...
4. Consider three coins being flipped - 8 possible outcomes (H,H,H), (H,H,T),... (T,T,T)} where "H" and "T" refer to the head and tail of each coin. In this exercise, we are going to call each outcome a "microstate" of this three-coin system. (a) What is the probability to have two heads for the 3-coin system? (b) If there are N coins, rather than three, how many microstates are possible? (c) For an N-coin system, the number of microstates associated with...
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