# TSI Math: Recognizing How Changes Affect Probability

A bowl of jellybeans has 12 cherry, 13 grape, 17 lemon, and 10 orange jellybeans. Sandra takes out and eats a lemon jellybean. What has changed for the probability of pulling out a cherry jellybean since she ate a lemon one?

Data Analysis, Statistics, and Probability | Probabilistic Reasoning |

Mathematics and Statistics Assessment | Probabilistic Reasoning |

Product Type | TSI |

TSI | Mathematics and Statistics Assessment TSI Math TSI Mathematics |

TSI Math | Data Analysis, Statistics, and Probability |

TSI Mathematics | Data Analysis, Statistics, and Probability |

Test Prep | TSI |

### Transcript

So this problems right up our alley because we could

really use a goodly sized handful of jelly beans Yeah

we missed lunch again Seems like sandra i got to

the ball before us and sanders always eating and jelly

beans Yeah we're talking about you sandra We know we

know you do it well there's no sense in crying

over spilled jelly beans Let's figure this out she's taken

and eating a lemon jelly bean and now we're trying

to figure out how the probability of grabbing a cherry

has changed didn't go up to go down because of

the way the question is asked We know the cherry

probability is different because there's one less jelly bean total

This makes the cherry probability a dependent one if the

probability changes based on the outcome of another event it's

dependent upon that event so answer the question we need

to find the probability of meeting a cherry before sandra

even got her mitts on that lemon one there were

fifty two jellybeans at the beginning and twelve were cherry

giving us a before probability of twelve out of fifty

two or three out of thirteen if we reduce it

Well after sander eats the lemon one that leaves only

fifty one total jelly beans in the ball So the

denominator changes but they're still twelve cherry jelly beans so

it gives us an edge after probability of twelve over

fifty one So it looks like the numerator has stayed

the same but the denominator shrink So the odds of

you picking that cherry jelly bean went up when the

total jellybeans were reduced And while the answer here is

just be the denominator and we're the shmoop innate er 00:01:47.326 --> [endTime] in case anyone asks