Question

Three coins are flipped.

Answer 1

Answer:

a) S = [HHH, HHT, HTH, HTT, THH, THT, TTH, TTT]

b) [HTT, THT, TTH, TTT]

c) 1/2

Step-by-step explanation:

Sample space is the total number of event outcome after flipping the three coins.

a) First, flipping two coins will generate the following sample space:

[HH, HT, TH, TT]

If one more coin with a Head H and a tail T is added making 3coins and then flipped together, the total number of outcomes that can be generated is:

S = [HHH, HHT, HTH, HTT, THH, THT, TTH, TTT]

The total sample space that can be generated is 8

b) out of the events, those that have at least two tails from the list of events are [HTT, THT, TTH, TTT]

Note that at least 2tails means events that have either two tails or more in their outcome. This are the known as POSSIBLE OUTCOME OF EVENTS i.e 4

c) Probability = Possible outcome of event/Total outcome of event

Probability that there will be at least two tails = 4/8

= 1/2

Answer 2

Answer:

3/8

Step-by-step explanation:

There are 6 posibilities, if u graph it out, it makes 3/8