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Nookie1986 [14]
3 years ago
6

In the New York State daily lottery game, a sequence of 4 (not necessarily different) digits in the range of 0-9 is selected at

random. Find the probability that all 4 are different.
Mathematics
1 answer:
devlian [24]3 years ago
5 0

Answer:

50.40% probability that all 4 are different.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Desired outcomes:

4 digits, all different

For the first digit, it can be any of them, so there are 10 possible

For the second digit, it can be any of them other than the first digit. So there are 9 possible.

For the third digit, it can be any of them, other than the first and the second. So there are 8 possible.

By the same logic, 7 possible digits for the fourth. So

D = 10*9*8*7 = 5040

Total outcomes:

4 digits, each can be any of them(10 from 0 - 9).

So

T = 10*10*10*10 = 10000

Probability:

p = \frac{D}{T} = \frac{5040}{10000} = 0.5040

50.40% probability that all 4 are different.

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Juli2301 [7.4K]

Answer:

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Step-by-step explanation:

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7 0
2 years ago
Read 2 more answers
15 POINTS!!!
MaRussiya [10]

Answer:

1. The expected pay-out on each policy is 250 * 1/90 + 12000 * 1/100 + 17000 * 1/400 = $165.  So that's what the premium would have to be in order to get a profit of 0.

 

2. The profit per policy is the premium the company receives minus the expected payout = 350 - 165 = $185.

 

3. The expected profit on 375 policies would be 375 * 185 = $69375

Step-by-step explanation:

7 0
3 years ago
Probability scenarios?
velikii [3]

Here are some probability scenarios.

- Flipping a coin and seeing if it is heads or tails.

- Thinking to yourself:  "Is it going to rain or hail?"

- Spinning a spinner and seeing what color it lands on.

-  Probability in winning the lottery.

-  Having 5 pairs of black shoes and one pair of yellow shoes.

 The probability of picking the yellow shoe is 1/5.

There are lots of more examples out there!

<em>Hope helps!-Aparri </em>

4 0
3 years ago
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