Question

a dime, a nickel, and a penny are each tossed one time. which table shows all the possible ways the coins could land face up, using H for heads and T for tails?

Answer 1

GIVEN:

We are told that an experiment consists of tossing a dime, a nickel and a penny, each of them once.

Required;

Select which table shows all the possible ways the coins could land face up, using H for heads and T for tails.

Step-by-step solution;

First we consider the entire sample space for the experiment, and that is all the possible outcomes for this experiment. This is shown below;

`HHH,\text{ }HHT,\text{ }HTH,\text{ }THH,\text{ }TTH,\text{ }THT,\text{ }HTT,\text{ }TTT`

The second table shows the possible outcomes whereby all coins lands face up without any outcome of landing tails up, that is TTT. Tables 1, 3 and 4 shows possibilities of having a tails for every throw in one of the outcomes (that is, TTT).

Therefore table 2 is the only set of outcomes where the coins could land face up.

ANSWER:

Table 2 (second option).