ACT Math : Data Analysis
Study concepts, example questions & explanations for ACT Math
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Example Questions
Example Question #61 : Outcomes
When rolling a ten sided die, what is the probability you roll an even number? Leave your answer as a reduced fraction.
To find the probability find the total number of ways to get the described event (rolling an even number: 2,4,6,8,10 for a total of 5) divided by the total number of outcomes (10). Thus the answer is:
Remember to reduce the fraction!
Example Question #181 : Data Analysis
If you draw a single card from a standard deck of cards, what is the probability that you draw a face-card that is also a diamond (face-cards do not include 
To find the probability of an event, find the total number of ways the event can happen and divide that by the total number of outcomes. There are only 
Example Question #61 : Outcomes
Ilene has a bag of gum drops and a bag of gummy bears. The bag of gum drops contains 23 gum drops in the following colors: 3 red, 3 orange, 4 brown, 4 green, 6 blue and 3 yellow. The bag of gummy bears contains 26 gummy bears in the following colors: 4 red, 6 orange, 5 purple, 3 green, 5 yellow and 3 pink. If she dumps all of the gum drops and gummy bears into one bag, what is the probability that she will pick up either a red or green gum drop or gummy bear?
1/7
2/7
3/49
2/47
7/14
2/7
The total number of gum drops and gummy bears is 49. There are 7 red gum drops and gummy bears and 7 green gum drops and gummy bears. There is a 2 in 7 probability that you will pick up a green or red gum drop or gummy bear.
If you answered 1/7, then you only accounted for choosing either red gum drop or gummy bear or green ones.
If you answered 2/47 then you did not add the number of gum drops and gummy bears correctly.
If you answered 7 in 14 then you found the number of red or green gummy bears/gum drops out of the total red and green gummy bears and gum drops.
And if you answered 3 out of 49, you found only the probability of choosing either red gum drops or green gummy bears.
Example Question #2891 : Act Math
Kaleah was born on the 17th day of the month. What is the probability that the next person she meets was born the 17th day of the month if they were born in August?
To find the probability of an event, find the number of ways that even can happen divided by the total number of possible outcomes.
There are 31 days in August, thus the total number of outcomes for someone being born in August is 31.
Since we only care about the event that is being born on the 17th, there is only one way that event can happen (being born on August 17th).
Thus the probability is
Example Question #181 : Data Analysis
When drawing a single card from a deck of cards, what is the probability you draw a black card, or a two? Give your answer as a simplified fraction.
To find the probability of an outcome, find the total number of ways that event can happen divided by the total number of possible outcomes.
There are 52 cards in a deck of cards, so there are 52 total possible outcomes. Of those, there are 26 black cards, and 4 twos.
However, of those 4 twos, two have already been included when we counted the 26 black cards (the 2 of clubs and 2 of spades), thus there are only two additional twos to add to our total of 26 black cards.
This yields 28 possibilities, which when divided by 52 reduces to:
Example Question #71 : How To Find The Probability Of An Outcome
What is the probability of drawing a face card from a standard, 52 card deck of cards? Give your answer as a reduced fraction.
To find the probability of an event, determine the number of ways the event can happen, and divide that by the total number of possible outcomes.
Because there are 52 cards in a deck of cards, the total possible number of outcomes is 52.
Since there are 3 face cards (Jack, Queen, King) and four suits, there are a total of 12 face cards.
Example Question #71 : Outcomes
When rolling at 
To find the probability of an outcome figure out the number of ways the specified event can occur (rolling a number greater than 
(Note, 
Example Question #184 : Data Analysis
When rolling a 
To find the probability of an event, find out how many ways that specific event can happen and divide it by the total number of possible outcomes. The only numbers less than or equal to 
Example Question #2891 : Act Math
Aaron flips a fair coin 7 times. The outcomes are shown below, in the order of the coin flips. H denotes heads, T denotes tails. Which outcome is most unlikely?
I) HHHHHHH
II) TTTTTTH
III)THHTHTT
I
II
I and II
They are equally unlikely.
III
They are equally unlikely.
Even though I and II may seem like rarer outcomes, all of the answer choices have an equal probability of occurring, as the probability for each outcome is 0.50 in each flip and the probability for each of these sequences of coin flips equals (0.50)^7.
Example Question #72 : Probability
If you roll a six-sided die, what is the probability of rolling a prime number?
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