Joestat wants help you to complete the following classical probability example:

Bob buys 3 gumballs from a gumball machine. The gumball machine has blue and yellow gumballs which are equally likely. We will now answer the following Classical Probability Questions.

What is the probability that among the 3 gumballs, there only one yellow?

What is the probability that among the 3 gumballs, there is exactly two blue?

What is the probability that all the gumballs are blue?

What is the complementary event of all gumballs being blue?

Solution to the classical probability example.

What is the probability that among the 3 gumballs, there only one yellow?

Find the possible outcomes resulting in only one yellow.

Y|B|B + B|Y|B + B|B|Y = 3

Find the total outcome when choosing 3 at random (reminder: blue and yellow are equally likely):

| [ 2 ] | [ ^ ] | [ 3 ] | [Enter] |

Calculate the probability that only one yellow gumball is picked.

What is the probability that among the 3 gumballs, there is exactly two blue?

Find the possible outcomes of 2 blues.

B|B|Y – B|Y|B – Y|B|B =3

Find the total possible outcomes

| [ 2 ] | [ ^ ] | [ 3 ] | [Enter] |

What is the probability that all the gumballs are blue?

Find the possible outcomes of 2 blues.

B|B|B = 1

Find the total possible outcomes

$latex 2^3=8$

| [ 2 ] | [ ^ ] | [ 3 ] | [Enter] |

Calculate the probability

(1/8)

What is the complementary event of all gumballs being blue?

| [ 1 ] | [ – ] | [ 1 ] | [ / ] | [ 8 ] | [Enter] |

###### Congratulations, you have successfully completed the Classical Probability TI-84 | TI-83 example problems.

Last Modified on February 16, 2013 by

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