Question

You flip a coin and then spin this spinner. a) Determine whether these events are Independent or Dependent. Write I on D b) Find the probability that the coin lands tails-up and the spinner Yands on a I Write as a reduced fraction (numerator/denominator). 1

Answer 1

Dependent events influence the probability of other events or their probability of occurring is affected by other events. Independent events do not affect one another and do not increase or decrease the probability of another event happening.

PART A

Since the flip of a coin would not affect the spin of the spinner, therefore these events are independent events.

The answer is 'I'

PART B

To find the probability that the coin lands tails-up and the spinner lands on 1, we would need to find the probability of getting a tail, then we find the probability of getting a 1

Therefore,

`\text{Probaility}=\frac{no\text{ of favourable outcomes}}{\text{Total possible outcomes}}`

When we flip a coin, the favourable outcome for a tail is 1 since a tail can only occur once in one flip. The total possible outcomes are 2, since we can have either a tail or head occurring in one flip.

Then,

`Pr(\text{Tail)}=(1)/(2)`

When we spin the spinner, the favourable outcome for one is 1, since we have only one slot for one on the spinner. The total possible outcome is 4 since we have 4 different number

slots on the spinner.

Then,

`Pr(1)=(1)/(4)`

To get the probability of getting a tail, then we find the probability of getting a 1 we multiply the probability of getting a one on the spinner and a tail on the flip.