Question

Kyle flips one coin, then rolls a number cube. List all of the possible outcomes and give the probability of rolling a 4 and flipping tails.

Answer 1

Step-by-step explanation:

Explanation:

In general, probability is determined by this little ratio:

number of ways it could happen

total number of outcomes

There are going to be two ratios, since there are two questions. We will do them one at a time:

NUMBER CUBE:

Number of ways it could happen:

2

(there are only 2 faces on the die less than 3, so only two ways it could happen)

Number of total outcomes:

6

(there are 6 total faces on the die, therefore 6 possible outcomes)

Ratio:

2/6→1/3

COIN:

Number of ways it could happen:

1

(there is only one side of "tails" on a coin)

Number of total outcomes:

2

(there are two sides of a coin)

Ratio:

1/2

TAKING THEM TOGETHER:

Since these are independent events, we multiply the results of each event. Therefore the probability of rolling less than 3 and flipping tales is:

1/3×1/2=1/6

that is the answer