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Probability, SM-Bank 007 MC

Eight buttons, numbered 1 to 8, are placed in a bag.

Robin picks three buttons out of the bag without looking.

Once chosen, a button is not put back into the bag.

The first button is number 2.

Which of the following cannot happen?

  1. The second button is even.
  2. The third button is 2.
  3. The second button is odd.
  4. The third button is 8.
Show Answers Only

\(B\)

Show Worked Solution

\(\text{Once number 2 is picked, it cannot be}\)

\(\text{picked again (no replacement).}\)

\(\therefore\ \text{The third button cannot be 2.}\)

 
\(\Rightarrow B\)