a) No, it does not matter whether you roll the die or flip the coin first, as these two events are <u>independent</u> of each other, which means they do not affect each other.

b) Yes.

Let event 1 be flipping a coin and event 2 be rolling a die.
Let event 1 be rolling a die and event 2 be flipping a coin.

The likelihood that any outcome will occur will not change, as the events are independent.

c) see attached

d) 12 outcomes (H = head, T = tail, numbers represent the value of the die)

H 1 T 1

H 2 T 2

H 3 T 3

H 4 T 4

H 5 T 5

H 6 T 6

$\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}$

$\implies \sf P(even)=\dfrac{1}{6}+\dfrac{1}{6}+\dfrac{1}{6}=\dfrac{3}{6}=\dfrac{1}{2}$

$\implies \sf P(head)=\dfrac{1}{2}$

$\implies \sf P(even)\:and\:P(head)=\dfrac{1}{2} \times \dfrac{1}{2}=\dfrac{1}{4}$

6 0

2 years ago

Jason signed up to receive Internet service for $13 per month, plus a $30 start-up

Zina [86]

He can receive 8 months of internet.
He has $134, and the initial fee is 30. Subtract 30 from 134. This gives you 104. Next, divide by the monthly fee of $13. 104/13=8

6 0

4 years ago