Question

For each of the following exercises, an experiment is give

n, followed by an event. Give the

sets that represent the sample space of the experiment and th

e event.

(a)

Experiment:

A coin is flipped once.

Event:

Heads is observed.

(b)

Experiment:

A coin is flipped three times.

Event:

At least two of the flips result in

heads.

(c)

Experiment:

A coin is flipped repeatedly until a head is obtained.

Event:

A head is

obtained in

less than

five flips.

(d)

Experiment:

The three letters A, B and C are arranged in all possible ways,

using each

letter exactly once.

Event:

The first letter is B.

Answer 1

(a)

Experiment:

A coin is flipped once.

S = {H, T}

Event:

Heads is observed.

S = {H }

(b)

Experiment:

A coin is flipped three times.

S = { HHH, TTT, HHT, HTH, THH, THT, TTH, HTT }

Event:

At least two of the flips result inheads.

S = { HHH, HHT, HTH, THH }

(c)

Experiment:

A coin is flipped repeatedly until a head is obtained.

S = { H, TH, TTH, TTTH, TTTTH, TTTTTH .......................}

Event:

A head isobtained inless thanfive flips.

S = { H, TH, TTH, TTTH }

(d)

Experiment:

The three letters A, B and C are arranged in all possible ways,using eachletter exactly once.

S = { ABC, ACB, BAC, BCA, CAB, CBA }

Event:

The first letter is B.

S = { BCA, BAC }