# UCAT Decision Making Test #6

#### I pay out £1 to roll two dice. If exactly one die displays a five, I win £2. If exactly two dice produce a five, I win £10.

Should I anticipate making money if I play 36 games?

Explanation:

I can expect winning £10 (5 wins x £2 winnings) because the odds of rolling exactly one die are 5/36. I can anticipate winning £20 (2 wins x £10 winnings) because there is a 2/36 chance of winning with exactly two dice. I expect to win £30 overall from 36 games, but since I pay $1 per game, I really anticipate losing £6. The other choices do not account for accurate probability estimations.

#### Should election voting be done online, or if necessary, by mail, in order to cut expenses, enhance accuracy, and increase turnout?

Choose the one that you think best supports the claims below.

Explanation:

It is the strongest choice since it addresses every concern mentioned by the question—cost, accuracy, and turnout. It draws attention to the possibility that purchasing new technology could be expensive (cost), could lower voter turnout, and might be vulnerable to hacking (accuracy).

#### Should the majority of students view university as a time to learn valuable transferrable skills and prepare for life rather than as offering vocational training for a specific job?

From the statements below, pick the one that makes the most sense.

Explanation:

The argument emphasizes the value of preparing students for a variety of different careers and lifestyles, which supports the claim that a university education offers "valuable transferable skills" and "preparation for life."

#### There are equal numbers of people with little feet, medium feet, and giant feet in the nation of Bipodia.

The population is equally split between those who have blue eyes, brown eyes, or green eyes.

Eye color and foot size are unrelated.

Less than 35% of the 100 people drawn at random from Bipodia are predicted to have both blue eyes and small feet.

Explanation:

It is typical for 1/3 of people to have blue eyes and 1/3 to have tiny feet. The predicted proportion of people who possess both of these attributes is 1/3 x 1/3, or 1/9. This is because the traits are independent of one another.

There are roughly 11 persons who are predicted to have both blue eyes and small feet because 1 in 9 people is equal to 100/9, or 11.

#### Two goods were tested on the market by a corporation.

Users of the products left either favorable or negative feedback.

About 20 out of every 200 customers did not utilize Product A, and 10 out of every 180 people who did gave it poor reviews.

About 90% of the clients used Product B, and 25% of them left favorable reviews.

Is Product A a better product to launch if we simply take into account the likelihood that buyers will utilize and like it?

Explanation:

Product A is more likely to get favorable feedback from customers. 170 out of 180 customers commented favorably on Product A, while 10 out of 180 customers had unfavorable things to say. This is (170/180) times 100, or 94.4 percent, which is greater than the 25% of customers who gave Product B favorable feedback.

#### Should automobiles be equipped with a technology that caps the maximum speed they may go in order to decrease deadly traffic accidents?

Out all the arguments listed below, pick the most convincing one.

Explanation:

According to the argument, excessive speeding is a key contributor to traffic fatalities. If drivers don't want to obey the speed limit legislation, then they should be mechanically forced to do so.

#### Field A has a 1 in 2 possibility of containing oil, and there is a 1 in 5 chance that any oil discovered there will be worth at least £1,000,000.

Field B has a 50% chance of holding oil, and a 2% chance that any oil found there will be worth less than £1,000,000.

Is it better to drill Field B as opposed to Field A based solely on the possibility of discovering oil and its price?

Explanation:

There is a 98 percent chance that any oil discovered in Field B will be worth at least £1,000,000.

#### 50 kids in a school were questioned about the subjects they took.

Geography and History were both studied by 10 pupils.

Geography was studied by 12 students but not History.

There were just as many people who did not study geography but did study history.

How many pupils studied history overall?

Explanation:

There are two missing values: those who studied History only, and those who studied neither subject. We know that 10 students studied both subjects, while 12 students studied only Geography.

These two missing values can both be called x as we are informed that they are the same.

Start with the total number of pupils and subtract the two variables we are previously familiar with to arrive at 2x:

50 – (10 + 12) = 28

Therefore, the total number of students who took only History or neither must be 28.

2x = 28

x = 28/2

x = 14

Thus, there were 14 students who only studied history. 24 pupils in total studied history when you factor in the 10 students that took both courses.

#### Five racks are in a cabinet. On each of the five racks, Mara places one or two glasses.

How many racks did Mara place two cups on if there are eight cups in the entire cabinet?

Explanation:

We can infer from the information provided that each of the five racks has at least one cup on it. Three cups remain after this. There must be three racks that accommodate two cups because she never places three cups on any of the racks.

#### 32 clients were given three different types of tiles from a retailer. The clients purchased one, two, or all three varieties of tiles.

Purchases of slate tiles totaled 16.

Only one buyer purchased marble and slate tiles.

Twelve buyers purchased cement and marble tiles.

Only six consumers purchased slate tiles.

All three tile kinds were purchased by 7 people.

Only three clients purchased marble tiles.

How many clients solely purchased cement tiles?

Explanation:

Only cement tiles were purchased by 8 clients.

#### Should waste collectors forfeit their right to strike given that their job entails lowering potential health risks to the general public?

From the statements below, pick the one that makes the most sense.

Explanation:

It acknowledges that every employee has the right to refuse to work if they have a complaint about their employer and takes into account negative impacts by putting the onus on the employers.

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