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PROBABILITY

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» A box has 10 balls. Each ball is marked with single digit from 0 to 9. One ball is randomly selected. What is the probability that the number is:

» Before we proceed, we need to identify the total outcomes or the number of events that could possibly picked: { 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 }

• As you can see, there are ten single digit numbers, therefore, there will be a total outcomes of 10 constantly.

» Second use the probability formula:

#1) Greater than 6?

• Identify the favorable outcomes that are greater than 6:

• Since there are three single digit numbers, we can use 3 as a favorable outcome.

ANSWER:

#2) Less than or equal to 3?

• Identify the favorable outcomes that are less than or equal to 3:

• Since there are four single digit numbers, we can use 4 as a favorable outcome.

ANSWER:

#3) Odd?

• Identify the favorable outcomes that are odd numbers:

• Since there are five single digit numbers, we can use 5 as a favorable outcome.

ANSWER:

#4) Not 0?

• Identify the favorable outcomes that are not zero:

• Since there are nine single digit numbers, we can use 9 as a favorable outcome.

ANSWER:

#5) 3 or 9?

• In definition of 'or' probability, we need to add the probability of the following events: { Getting 3 and Getting 9 }

• Identify the probability of getting 3.

• Identify the probability of getting 9.

• Identify the probability of getting either 3 or 9.

ANSWER:

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