A fair die has the numbers $1$ to $6$ and a second fair die has the numbers $7$ to $12$. If

Question

A fair die has the numbers $1$ to $6$ and a second fair die has the numbers $7$ to $12$. If the two dice are thrown, the score is the last digit in the product of the numbers shown on top of the dice. Complete the possibility diagram below. $1$$2$$3$$4$$5$$6$ $7$$7$ $8$$6$ $9$$7$ $10$$0$ $11$$5$ $12$$2$ Find the probability of getting a score that is a perfect square, a prime number or a multiple of $3$, a common factor of $30$ and $42$.

Accepted Answer

(b)(i) 4/9; (b)(ii) 2/3; (b)(iii) 1/3.

	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)
\(7\)	\(7\)
\(8\)		\(6\)
\(9\)			\(7\)
\(10\)				\(0\)
\(11\)					\(5\)
\(12\)						\(2\)

Probability of Compound and Sequential Events

Probability of Compound and Sequential Events

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