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three cards are drawn (simultaneously) from a deck. the number of twos …

Question

three cards are drawn (simultaneously) from a deck. the number of twos is counted. the probability distribution is shown below. draw a histogram for this distribution, and shade the region that gives the probability ( p ) (at least one two).

choose the correct graph below.

Explanation:

Step1: Understand "at least one two"

"At least one two" means the number of twos is \(1\), \(2\), or \(3\).

Step2: Analyze each option

  • Option A: Shades regions for \(1\), \(2\), \(3\) twos.
  • Option B: Shades only for \(1\) two.
  • Option C: Shades only for \(0\) twos.
  • Option D: Shades for \(0\) and \(1\) two.

Answer:

A.