benchmarks.wiki

benchmarks.wiki / Public workspace

MMLU-Pro / 7888 / Draw one card at random from a standard deck of cards. The sample space S is…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

Draw one card at random from a standard deck of cards. The sample space SS is the collection of the 52 cards. Assume that the probability set function assigns 1/521 / 52 to each of the 52 outcomes. Let $$ \begin{aligned} A & =\{x: x \text { is a jack, queen, or king }\}, \\ B & =\{x: x \text { is a } 9,10, \text { or jack and } x \text { is red }\}, \\ C & =\{x: x \text { is a club }\}, \\ D & =\{x: x \text { is a diamond, a heart, or a spade }\} . \end{aligned} $$ Find P(A)P(A)
Plain-text mathematical notation (without MathML)
Draw one card at random from a standard deck of cards. The sample space S is the collection of the 52 cards. Assume that the probability set function assigns 1/52 to each of the 52 outcomes. Let
$$
\begin{aligned}
A & =\{x: x \text { is a jack, queen, or king }\}, \\
B & =\{x: x \text { is a } 9,10, \text { or jack and } x \text { is red }\}, \\
C & =\{x: x \text { is a club }\}, \\
D & =\{x: x \text { is a diamond, a heart, or a spade }\} .
\end{aligned}
$$
Find P(A)
Original LaTeX notation
Draw one card at random from a standard deck of cards. The sample space $S$ is the collection of the 52 cards. Assume that the probability set function assigns $1 / 52$ to each of the 52 outcomes. Let
$$
\begin{aligned}
A & =\{x: x \text { is a jack, queen, or king }\}, \\
B & =\{x: x \text { is a } 9,10, \text { or jack and } x \text { is red }\}, \\
C & =\{x: x \text { is a club }\}, \\
D & =\{x: x \text { is a diamond, a heart, or a spade }\} .
\end{aligned}
$$
Find $P(A)$

category

math

options

  1. $\frac{14}{52}$
  2. $\frac{12}{52}$
  3. $\frac{13}{52}$
  4. $\frac{15}{52}$
  5. $\frac{10}{52}$
  6. $\frac{7}{52}$
  7. $\frac{11}{52}$
  8. $\frac{9}{52}$
  9. $\frac{8}{52}$
  10. $\frac{16}{52}$

src

scibench-stat

Discussion

Discussion

No discussion posts on this page yet. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

Source and history

upstream_id / Original problem ID
7888
task_id
258a5228-6d27-5ec5-9bf7-72a76b1cdcca
task_key
default--test--7888
task_revision_id
1
config / split
default / test

Official source

initial import