DSAT extra practice Ch6 Lv3

Select 2 people randomly, what is the probability that their zodiac signs are different?

To marry the princess of a kingdom, a man has to pass two difficult trials designed by the king. The king of the kingdom designed two difficult trials for those who wants to marry the princess. The first trial must be passed before the second trial can be attempted. The probability of passing the first and second trials are 0.07 and 0.05 respectively. Franky challenged the trials. Given that he did not get to marry the princess, what is the probability that he did not pass the second trial?

Charlie ran for mayor of Fortune city. Based on past data, assuming that citizens either support Happy party or Fortune party. 45% of people support Happy party, and 35% of those people support Charlie. 60% of those who support Fortune party also support Charlie. Randomly select a citizen, what is the probability that the citizen supports Happy party given that he/she supports Charlie?

Ethan prepared two paper cups and put a piece of dried fish into one of them randomly. He then asked his pet cat, Coke, to guess. Based on Ethan’s experience, the probability of Coke getting the dried fish is always 0.6. Ethan played this game twice with Coke. Given that Coke got at least one piece of dried fish, what is the probability that it only got only one piece?

A man took his duck to a marathon. The graph below shows the records of the marathon that day, where the horizontal axis represents the time taken to complete the marathon. His duck took 5 hours and 20 minutes to complete the event. If there were 15,000 participants that day, which of the following values could possibly be the duck’s rank?

Happy City wants to understand the distribution of hourly wages among working individuals, so they randomly surveyed 57 people and plotted the results into a histogram. Which of the following statements is correct?

The table above shows the distributions of SAT scores of two classes. Which of the following statement could be false?

In the final round of a competitive eating show, 6 contestants had to eat as many bowls of ramen as possible within 1 hour. In the end, Mr. Pig emerged victorious with an astonishing 26 bowls consumed. A tradition of the show is to donate rice equivalent to the total weight of food consumed by all contestants to nonprofit organizations. If the range of the results is 5 bowls and the average weight of one bowl of ramen is 400 grams, which of the following values is impossible to be the weight of rice donated by the show?

A researcher wants to estimate how many adult Americans believe that chocolate milk comes from brown cows, so he randomly surveyed the public. The result obtained is 7% with a margin of error of 1.5%. If there are approximately 250 million adult Americans, which of the following numbers could possibly represent the number of people, in millions, who believe that chocolate milk comes from brown cows?

A toilet paper seller wants to know the average number of sheets a person uses when going to the restroom. So, he randomly interviewed 1200 people. If the sample mean is 4.3 sheets and the margin of error is 0.8 sheets, how many people at most can a pack of 120-sheet toilet paper supply?

Emily wants to make handmade cookies to sell. Since cookies are usually sold by weight, she needs to estimate the average weight of a bag of cookies. So, Emily randomly samples 25 bags of cookies and obtains an average weight of 125 grams with a margin of error of 12 grams. The next day, she randomly samples 35 bags of cookies and obtains an average weight of 128 grams with a margin of error of 9 grams. If Emily’s cookies are sold at 6 dollars per 50 grams, which of the following prices is most likely to be the pricing for one bag of cookies?

A dating platform wanted to gauge the satisfaction level with marriage of couples that met through their platform, so the owner randomly surveyed 50 couples and asked them to rate their satisfaction level on a scale of 1-10, as shown in the figure above. Which of the following statements is correct?

The above chart shows the SAT English and math scores of 30 students from Happy School. How many of these 30 students have total scores exceeding 1200 points?

A math teacher wants to know if performance in geometry affects performance in algebra. He randomly surveyed the grades of 30 students and plotted them on a scatter plot. The line in the graph is the regression line. This year, the math teacher has a student in his class who scored 60 points in geometry. If her actual algebra grade is 12 points higher than the grade predicted by the regression line, which of the following values is closest to her actual algebra grade?