A $6$-sided fair die is tossed first and a ball is drawn at random from a bag containing $2$ blu

Question

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. DieBall 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.

Accepted Answer

(b)(i) 1/8; (b)(ii) 1/4.

Die	Ball
Die	Blue	Blue	Yellow	Green
\(1\)	\(1, B\)	\(1, B\)	\(1, Y\)	\(1, G\)
\(2\)	\(2, B\)
\(3\)	\(3, B\)
\(4\)	\(4, B\)
\(5\)	\(5, B\)
\(6\)	\(6, B\)

Constructing and Interpreting Two-Dimensional Possibility Diagrams

Constructing and Interpreting Two-Dimensional Possibility Diagrams

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