1003019104
Level:
A
Four dice are thrown. What is the probability that the sum is \( 6 \)?
\( \frac{10}{6^4}\doteq 0{.}0077 \)
\( \frac1{21}\doteq 0{.}0476 \)
\( \frac1{6^4}\doteq 0{.}0008 \)
\( \frac2{6^4}\doteq 0{.}0015 \)
A
1003019103
Level:
A
There are \( 30 \) students in the class, one of them is Adam. The teacher picks randomly three students to be tested. What is the probability that Adam is among them?
\( \frac{\binom{29}2}{\binom{30}3}=0{.}1 \)
\( \frac{\binom{29}2}{\binom{30}2}\doteq 0{.}9333 \)
\( \frac{\binom{29}3}{\binom{30}3}=0{.}9 \)
\( \frac{\binom31\binom{27}2}{\binom{30}{3}}\doteq 0{.}2594 \)
1003019102
Level:
A
An urn contains \( 19 \) red balls and \( 9 \) blue balls. Find the least number of blue balls that need to be added to the urn to ensure higher probability of drawing a blue ball than \( 0.65 \).
\( 27 \)
\( 26 \)
\( 10 \)
\( 0 \)
1003019101
Level:
A
An urn contains chips with the numbers from \( 1 \) to \( 30 \). What is the probability that the chip with a prime number is drawn?
\( \frac13\doteq 0.3333 \)
\( \frac{11}{30}\doteq 0.3667 \)
\( \frac25 =0.4 \)
\( \frac3{10}=0.3 \)
1103019504
Level:
A
Identify which of the graphs represents a function without a maximum.
1103019503
Level:
A
Function \( f \) is given by the graph. Identify which of the following statements is true.
Function \( f \) has minimum at \( x=0 \) and maximum at \( x=5 \).
Function \( f \) has minimum at \( x=-5 \) and maximum at \( x=5 \).
Function \( f \) has minimum at \( x=-1 \) and maximum at \( x=4 \).
Function \( f \) has neither minimum nor maximum.
1003019502
Level:
A
Suppose function \( f \) is given completely by the next table. \[
\begin{array}{|c|c|c|c|c|c|c|c|} \hline x&-2&5& 9&0&-8&2&4 \\\hline f(x) &2&-3&0&-7&-1&5&4\\ \hline\end{array}\]
Identify which of the following statements is true.
Function \( f \) has minimum at \( x= 0 \) and maximum at \( x= 2 \).
Function \( f \) has minimum at \( x= 0 \) and maximum at \( x= 9 \).
Function \( f \) has minimum at \( x= -8 \) and maximum at \( x= 2 \).
Function \( f \) has minimum at \( x= -8 \) and maximum at \( x= 9 \).
1003019501
Level:
A
Suppose function \( f \) is given completely by the next table.
\[
\begin{array}{|c|c|c|c|c|c|c|c|} \hline x&-3&-2& -1&0&1&2&3 \\\hline f(x) &2&-3&1&0&1&-2&2\\ \hline\end{array}\]
Identify which of the following statements is true.
Function \( f \) has minimum at \( x= -2\) and maximum at \( x= -3\) and at \( x= 3\).
Function \( f \) has minimum at \( x= -3\) and maximum at \( x= 2\).
Function \( f \) has minimum at \( x= -2\) and it has no maximum.
Function \( f \) has minimum at \( x= -3\) and maximum at \( x=3 \).
1103019404
Level:
A
Identify which of the given graphs is an even function graph.
1003019403
Level:
A
Suppose each of the following tables defines function \( f \) completely. Identify which of the tables represents an odd function.
\(\begin{array}{|c|c|c|c|c|c|c|c|} \hline x&-5&-3& -2&0&2&3&5 \\\hline f(x) &2&-3&1&0&-1&3&-2\\ \hline\end{array}\)
\(\begin{array}{|c|c|c|c|c|c|c|c|} \hline x& -5 & -3 & -1 & 0 & 1 & 3 & 5 \\\hline f(x) & -5 & -3 & -1 & 1 & 1 & 3 & 5 \\ \hline\end{array}\)
\(\begin{array}{|c|c|c|c|c|c|c|c|} \hline x & -3 & -2 & -1 & 0 & 1 & 2 & 3 \\\hline f(x) & 2 & -3 &1 & 0 & 1 & -3 & 2\\ \hline\end{array}\)
\(\begin{array}{|c|c|c|c|c|c|c|c|} \hline x & -3 & -2 & -1 & 1 & 2 & 3 & 4 \\\hline f(x) & 2 & -3 & 1 & -1 & 3 & 2 & 4\\ \hline\end{array}\)