Question

A survey of 100 households that own televisions found that 95 use a remote control. if you randomly knocked on two doors (from the sample of 100 households), what is the probability that the first homeowner would use a remote control and the second homeowner would not?

Answer 1

`95/100`

`5/99`

Explanation:

The probability of a 100 households using the remote is:

`=95/100`

The probability off two home owners is:

One home owner would have a 95/100 chance to use the remote.The second would have the remaining amount of 95/100 which is 5 and also one less person. Therefore:

`=(100-95)/(100-1)=5/99`

Answer 2

Probability of first using a remote = 95/100
Probability of second not using a remote = 5/99

Overall prob = (95/100)(5/99)

95*5/100*99 =475/9900 =19/396