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serious [3.7K]
2 years ago
12

A thief steals an ATM card and must randomly guess the correct three​-digit pin code from a 9​-key keypad. Repetition of digits

is allowed. What is the probability of a correct guess on the first​ try?
Business
1 answer:
Dennis_Churaev [7]2 years ago
7 0

Answer:

The thief has a 0.11% probability of hitting the pin code on the first try.

Explanation:

Simply, if the ATM card has a 3-digit code that can be repeated, and the board has 9 numbers (for example, from 1 to 9), we must start from the smallest number that could be formed with these numbers to the highest number that these numbers could also compose, which in the case would be 111 and 999. Then, 889 different numbers could be formed (it is the distance between 111 and 999), with which the possibility of hitting the key to the first attempt would be 1 in 889 times, or 1/889.

To take the probability to a percentage, we must know that 889 / 8.89 gives 100. Therefore, dividing 1 / 8.89 we will know the percentage of probabilities of hitting the key on the first attempt: 1 / 8.89 = 0.11.

This shows us that the thief has a 0.11% probability of hitting the key on the first try.

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kari74 [83]

Answer:

See explaination for the details of the answer.

Explanation:

1) Increase

As business is optimistic about its future, such business will start capacity expansion to cater for consumer demand.

2) Decrease

Higher real interest rate simply means borrowing cost is higher for the firms and so that they will reduce the investment in respose to that.

3) Decrease

A lower tax means higher profits and firms can pass these benefits to consumers with lower prices, to employees with higher wages and to the government with tax on profit. However, if the rate of tax itself has been increased then in that case corporates will see higher tax as a dampener in sentiments and they might curtail investment plans.

4) Decrease

A recession means there will be lesser economic activity overall and demand will be lower so as the consumption. In such case, planned investment will be reduced.

7 0
3 years ago
Two companies share a market, in which they currently make $5,000,000 each. Both need to determine whether they should advertise
snow_tiger [21]

Answer: Please refer to Explanation.

Explanation:

Two Companies. We shall call them A and B.

If A and B decide not to advertise, they both get $5,000,000.

If A advertises and B does not then A captures $3 million from B at a cost of $2 million meaning their payoff would be,

= 5 million - 2 million + 3 million

= $6 million.

A will have $6 million and B will have $2 million as $3 million was captured from them. This scenario holds true if B is the one that advertises and A does not.

If both of them Advertise, they both reduce their gains by $2 million while capturing $3 million from each other so they'll essentially both have just $3 million if they both decide to advertise.

With the above scenarios, it is better for both companies to ADVERTISE if there is NO COLLUSION. This is because it ensures that they do not get the lowest payoff of $2 million if the other company decides to advertise and they do not.

However, if they DO COLLUDE. They must both decide that NONE of them SHOULD ADVERTISE and this would leave them with their original $5 million each which is a higher payoff than the $3 million they will both receive if they were both advertising.

3 0
3 years ago
Warren, Inc. purchased a $400,000 life insurance policy on the company president on January 1, 2017. The premium that was paid o
stealth61 [152]

Answer: $10,400

Explanation:

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3 years ago
What is an agricultural marketing cooperative that helps members sell their products?
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This question provides the defition for a producer cooperative

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3 years ago
On January 1, 2021, Nana Company paid $100,000 for 6,200 shares of Papa Company common stock. The ownership in Papa Company is 1
anygoal [31]

Answer:

$372,000

Explanation:

The computation of the amount to be reported in the balance sheet is shown below:

= Number of shares of common stock × fair value of the Papa stock on that date per share

= 6,200 shares × $60

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Since in the question it is given that the Nana company does not have significant influence over Papa Company which means that the net income, retained earning, dividend is not be considered.

Therefore, the investment should be reported at the fair value

6 0
3 years ago
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