Perplex
Dashboard
Learn

No active concepts yet.

Browse by TopicReview VideosFormula BookletMy Progress
BlogLanding Page
Sign UpLogin
Perplex
Perplex
Dashboard
Learn

No active concepts yet.

Browse by TopicReview VideosFormula BookletMy Progress
BlogLanding Page
Sign UpLogin
Perplex
IB Math AIHL
/
Probability
/

Problem Bank

IB Math AIHL
/
Probability
/

Problem Bank

[Maximum mark: 6]

In a robotics lab there are nine identical data-sticks, each labeled with a single code letter:


<p>The diagram shows nine identical circles (nodes), each containing a single letter. They are laid out in two staggered rows:</p>
<p>• Top row (left to right): A, A, A, I   (and, set slightly apart to the right, X)<br>
• Bottom row (left to right): O, R, T, T</p>
<p>Altogether the multiset of labels is {A, A, A, I, O, R, T, T, X}. There are no lines or arrows—just the nine labeled circles.</p>

A technician randomly selects two sticks, plugging each into separate ports of a computer.

  1. Find the probability that the first stick selected is labeled

    1. ​A,

      P(first stick is A)=
    2. ​A​ or ​I.

      [1]
  2. Determine the probability that the second stick selected is labeled ​A, given that the first stick selected was labeled ​I.

    [2]
  3. Find the probability that both sticks selected are labeled ​A.

    [2]

Ask Plex AI about this problem

Get hints, ask questions, and work through this problem step by step

I'm Plex, here to help with problems on this worksheet!
[Maximum mark: 6]

In a robotics lab there are nine identical data-sticks, each labeled with a single code letter:


<p>The diagram shows nine identical circles (nodes), each containing a single letter. They are laid out in two staggered rows:</p>
<p>• Top row (left to right): A, A, A, I   (and, set slightly apart to the right, X)<br>
• Bottom row (left to right): O, R, T, T</p>
<p>Altogether the multiset of labels is {A, A, A, I, O, R, T, T, X}. There are no lines or arrows—just the nine labeled circles.</p>

A technician randomly selects two sticks, plugging each into separate ports of a computer.

  1. Find the probability that the first stick selected is labeled

    1. ​A,

      P(first stick is A)=
    2. ​A​ or ​I.

      [1]
  2. Determine the probability that the second stick selected is labeled ​A, given that the first stick selected was labeled ​I.

    [2]
  3. Find the probability that both sticks selected are labeled ​A.

    [2]

Ask Plex AI about this problem

Get hints, ask questions, and work through this problem step by step

I'm Plex, here to help with problems on this worksheet!