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Six fair coins were flipped. 15. 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...
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...
Seven fair coins were flipped. 19. How many possible outcomes there will be, if the order...
Seven fair coins were flipped. 19. How many possible outcomes there will be, if the order ofcoins are considered? 20. How many possible outcomes with exactly 3 heads?
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?
if 5 fair coins flipped what is the probability of getting at least 2 heads and...
if 5 fair coins flipped what is the probability of getting at least 2 heads and 2 tails given that there is at least 1 head and 1 tail？
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...
13. What is the probability for exactly three of five flipped coins to land heads, and...
13. What is the probability for exactly three of five flipped coins to land heads, and in how many different ways can they land to give this result?
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...
Seven fair coins were flipped. 19. How many possible outcomes there will be, if the order ofcoins are considered? 20. How many possible outcomes with exactly 3 heads?
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...
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...
13. What is the probability for exactly three of five flipped coins to land heads, and in how many different ways can they land to give this result?
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