A taxi ride cost $2 for the first 1/5 of a km and 40 cents for each additional fifth of a km. Dan has $9.60. What is the longest
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Answer:
There are 2,598,960 5 draw poker hands are there.
There are 311,875,200 5-stud poker hands.
Step-by-step explanation:
When the order is not important, we use the combinations formula:
For example, eating an apple and an orange is the same as eating an orange and an apple.
is the number of different combinations of x objects from a set of n elements, given by the following formula.
When the order is important, we use the permutations formula:
For example, a 3 digit credit card password, 123 is different than 213.
The number of possible permutations of x elements from a set of n elements is given by the following formula:
A hand of 5-card draw poker is a simple random sample from the standard deck of 52 cards. How many 5 draw poker hands are there?
Here, the ordering is not important, so we use the combinations formula.
There are 2,598,960 5 draw poker hands are there.
In 5-card stud poker, the cards are dealt sequentially and the order of appearance is important. How many 5-stud poker hands are there?
The ordering is important, so we use the combinations formula.
There are 311,875,200 5-stud poker hands.
Answer:
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Step-by-step explanation:
The probability that the company won x bids follows a binomial distribution because we have n identical and independent experiments with a probability p of success and (1-p) of fail.
So, the PMF of X is equal to:
Where p is 0.1 and it is the chance of winning. Additionally, n is 3 and it is the number of bids. So the PMF of X is:
For binomial distribution:
Therefore, the company can expect to win 0.3 bids and it is calculated as:
Additionally, the standard deviation of the number of bids won is:
Finally, the probability to won 1, 2 or 3 bids is equal to:
So, the expected profit for the company is equal to:
Because there is a probability of 0.243 to win one bid and it will produce 50,000 of income, there is a probability of 0.027 to win 2 bids and it will produce 100,000 of income and there is a probability of 0.001 to win 3 bids and it will produce 150,000 of income.