Question

José flips a coin two times. If H is heads and T is tails, what is the sample space for this compound event? Does anyone understand this?

H-H, H-T, T-H
H-H, H-T, T-T, T-H
H-T, T-H
H-H, T-H, T-T

Answer 1

The correct option is 2.

Explanation:

It is given that José flips a coin two times.

If H is heads and T is tails and a coin is tossed then there are two possible outcomes,

`A=\{H,T\}`

If two coins are tossed then the possibilities are:

1. Both heads H-H.

2. First head second tail.

3. Both Tails T-T.

4. First tail second head.

The sample space for this compound event is

`S=\{HH,HT,TT,TH\}`

It can be written as

H-H, H-T, T-T, T-H

Therefore the correct option is 2.

Answer 2

The list of all possible outcomes is shown in the table below. There are four possible outcomes: HH, HT, TH, TT