Constructing and Interpreting Two-Dimensional Possibility Diagrams
Constructing and Interpreting Two-Dimensional Possibility Diagrams
TGM Original
A \(6\)-sided fair die is tossed first and a ball is drawn at random from a bag containing \(2\) blue balls, \(1\) yellow ball and \(1\) green ball. The results are recorded in a possibility diagram.
- Complete the possibility diagram shown below.
| Die | Ball | |||
Blue | Blue | Yellow | Green | |
\(1\) | \(1, B\) | \(1, B\) | \(1, Y\) | \(1, G\) |
\(2\) | \(2, B\) | |||
\(3\) | \(3, B\) | |||
\(4\) | \(4, B\) | |||
\(5\) | \(5, B\) | |||
\(6\) | \(6, B\) | |||
- Find the probability that the die shows
- an even number and the ball drawn is yellow.
- a number less than \(4\) and the ball drawn is not blue.
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Answer:(b)(i) 1/8; (b)(ii) 1/4.
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