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you spin the spinner, flip a coin, then spin the spinner again. find the probability of the compound event. write your answer as a fraction or percent. if necessary round your answer to the nearest hundredth.
(Spinning an odd number, flipping head, then spinning yellow)

You Spin The Spinner Flip A Coin Then Spin The Spinner Again Find The Probability Of The Compound Event Write Your Answer As A Fraction Or Percent If Necessary class=

Sagot :

CrazyMoosen

Answer:

1/9

Step-by-step explanation:

Probability is defined as the number of cases fitting a constraint divided by the number of total cases.

We will calculate the number of total cases first (bc its easier xD):

3 numbers for the first spin times 2 cases for the flip times 3 numbers for the first spin = 18 total cases.

Now, we will calculate the number of cases fitting the constraint:
For the first constraint, there are two possible ways of spinning an odd number, landing on 1 or 3.
For the second constraint there is only 1 way, which is spinning a head.
For the 3rd constraint, there is only 1 way to spin yellow.

2 * 1 * 1 = 2

Number of cases over total cases:

2/18 = 1/9

reinhard10158

Step-by-step explanation:

we seek the probability of a combination of independent events.

since they are independent, we can simply multiply the 3 individual probabilities.

1. spin an odd number (in our case that means 1 or 3) out of the possible 3. that probabilty is therefore 2/3.

2. flipping head with a coin. so, 1 out of possible 2. that probabilty is therefore 1/2

3. spin yellow. that is 1 out of possible 3. that probabilty is therefore 1/3.

again, none of the single events is influencing the outcome of any of the other 2 events, so, the total probabilty of the combination is the product of the single probabilities :

2/3 × 1/2 × 1/3 = 2/18 = 1/9

FYI : the first single probabilty is actually the result of an "or" relationship of 2 possible results of one event :

the probabilty to get an odd number is the same as the probabilty to get 1 or to get 3. both are non-overlapping possible outcomes of one event, so we can add the individual probabilities for the result.

each possible outcome has the probabilty of 1/3, so the "or" relation has a probabilty of 1/3 + 1/3 = 2/3.

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