2000004701
Level:
B
In case a clock runs out of batteries, what is the probability of the minute hand stopping anywhere between \(4\) and \(8\)?
\( \frac{1}{3} \)
\( \frac{4}{8}=\frac{1}{2} \)
\(\frac{1}{4}\)
\( \frac{8}{12}=\frac{2}{3} \)
B
2000004407
Level:
B
A basketball player throws a free throw with a \(0.9\) probability of success. What is the probability that he/she will make at least one of the three free throws?
\( 0.999\)
\( 0.729\)
\( 0.99\)
\( 0.9\)
2000004406
Level:
B
A basketball player throws a free throw with a \(0.5\) probability of success. What is the probability that he/she will make all of the three free throws?
\( 0.125\)
\( 0.5\)
\(0.15\)
\( 0.25\)
2000004404
Level:
B
Two identical light bulbs are connected to the battery as shown in the electrical circuit diagram.
The reliability of each of the bulbs is \(0.5\). What is the probability that the current flows through the circuit, i.e., at least one bulb is glowing? (Note: Reliability is the probability that the component will perform its intended function.)
\( 0.75\)
\( 0.5\)
\( 1\)
\( \frac{1}{4}\)
2000004403
Level:
B
Two identical light bulbs are connected to the battery as shown in the electrical circuit diagram.
The reliability of each of the bulbs is \(0.4\). What is the probability that the current flows through the circuit, i.e., both bulbs are glowing? (Note: Reliability is the probability that the component will perform its intended function.)
\(0.16\)
\(0.8\)
\(\frac{2}{5}\)
\( \frac{1}{2}\)
2000004402
Level:
B
Peter built a maze for his pet mouse Mickey (see the floor plan in the picture). In addition, he placed some cheese in an airtight container in room B. Suppose that every time Mickey reaches a split in the maze, he is equally likely to choose any of the paths in front of him. Which of the following statements is true?
The probability that Mickey will end up in room A or C is the same.
The probability that Mickey will end up in room C is greater than for room A.
The probability that Mickey will end up in room B is the same as in case of rooms A and C.
2000004401
Level:
B
Peter built a maze for his pet mouse Mickey (see the floor plan in the picture). In addition, he placed some cheese in an airtight container in room B. Suppose that every time Mickey reaches a split in the maze, he is equally likely to choose any of the paths in front of him. What is the probability of Mickey ending up in room B with cheese?
\( \frac{2}{3}\)
\( \frac{1}{2}\)
\( \frac{1}{3}\)
\( \frac{3}{5}\)
2000004306
Level:
B
Let \(f(x) = x^2\). Given the graph of the function \(f\) and the graph of a function \(g\) (see the picture), choose the function \(g\).
\( g(x) =-x^2+4\)
\( g(x) =x^2-4\)
\( g(x) =x^2-2\)
\( g(x) =-x^2+2\)
2000004305
Level:
B
In the picture A, the graph of the quadratic function \( f(x) = x^2\) is shown. With the aid of the graph of \(f\) identify which of the graphs shown in the picture B is the graph of \( g(x) = x^2-2x-3=(x+1)(x-3)\). What is the color of the graph of \(g\)? (Note: Each graph in the picture B was obtained by shifting the graph of \(f\).)
blue
red
yellow
green
2000004304
Level:
B
In the picture A, the graph of the quadratic function \( f(x) = x^2\) is shown. With the aid of the graph of \(f\) identify which of the graphs shown in the picture B is the graph of \( g(x) = (x-2)^2\). What is the color of the graph of \(g\)? (Note: Each graph in the picture B is the graph of some transformation of \(f\).)
yellow
red
green
blue