Question

José flips a coin two times. If H is heads and T is tails, what is the sample space for this compound event?
A.
H-H, H-T, T-H
B.
H-H, H-T, T-T, T-H
C.
H-T, T-H
D.
H-H, T-H, T-T
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Answer 1

Answer:

The correct option is 2.

Step-by-step 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.