Answer:
<em>The events are independent (the outcome of flipping thee coin has no effect on the outcome of rolling the die).</em>
<em>The events are independent (the outcome of flipping thee coin has no effect on the outcome of rolling the die).⇒</em>
<em>The events are independent (the outcome of flipping thee coin has no effect on the outcome of rolling the die).⇒ P(head and an even number) </em>
<em>The events are independent (the outcome of flipping thee coin has no effect on the outcome of rolling the die).⇒ P(head and an even number) = P(head) ×</em><em> P(even number)</em>
<em> P(even number)Assuming a fair coin and a fair die:</em>
<em> P(even number)Assuming a fair coin and a fair die:P(head) </em>
<em> P(even number)Assuming a fair coin and a fair die:P(head) =50%</em>
<em> P(even number)Assuming a fair coin and a fair die:P(head) =50%P(even number) </em>
<em> P(even number)Assuming a fair coin and a fair die:P(head) =50%P(even number) =50%</em>
<em> P(even number)Assuming a fair coin and a fair die:P(head) =50%P(even number) =50% (since half the numbers on a die are even).</em>
<em> P(even number)Assuming a fair coin and a fair die:P(head) =50%P(even number) =50% (since half the numbers on a die are even).P(head and even number) </em>
<em> P(even number)Assuming a fair coin and a fair die:P(head) =50%P(even number) =50% (since half the numbers on a die are even).P(head and even number) =50%×50%</em><em>=25%</em>