All ISEE Lower Level Math Resources
Example Questions
Example Question #41 : Probability
Bob and eight other people at his office enter into a raffle. Right before the winning raffle ticket is to be pulled from the bowl, Bob puts in one more raffle ticket. What is the probability that Bob wins the raffle?
40%
15%
10%
20%
20%
We start with nine raffle tickets. Bob puts one more in right before the drawing, so now we have ten raffle tickets in total, two of which belong to Bob.
Since 2 out of 10 tickets will make Bob win, he has a 20% chance of winning.
Example Question #42 : Outcomes
Bob had a bag of 20 strawberries, in which 4 were ripe. If he randomly picks 1 berry, what is the chance that he will get a an ripe strawberry?
We can find the chance by setting up a fraction of ripe strawberries out of total strawberries. We know that there are 20 strawberries in total, and that 4 of them are ripe.
We can reduce the fraction be removing a common factor.
Finally, we need to convert our fraction to a percentage.
There is a 20% chance that Bob will pick a ripe strawberry.
Example Question #42 : How To Find The Probability Of An Outcome
Marta has six books. Three of her books are fiction, and three of her books are non-fiction. If Marta picks a book at random, what is the percent chance that the book will be fiction or non-fiction?
More information is needed to solve
This question deals with a probability "or" statement. When a question asks about two different outcomes in the context of "or," you must add the probability of the two outcomes together.
If three of Marta's books are fiction and three are non-fiction, then we know that half of her books are fiction and half are non-fiction.
To find the chance of picking a fiction OR non-fiction book, we will need to add the two probabilities together.
There is a 100% chance that the book she picks will be fiction or non-fiction.
Example Question #43 : How To Find The Probability Of An Outcome
Mary and Rebecca are in a class of 11 students (including themselves). The teacher has a bag containing the names of all her students. The first name she pulls out is Mary's name. The teacher tells Mary that she must reach into a bag to pick out her partner for a school project. What is the chance that Mary pulls out Rebecca's name?
Let's start by looking at how many names are left in the bag.
Before Mary's name was picked by the teacher, there were 11 names. However, since Mary's name has been removed, there are only 10 names left in the bag.
The chance that Mary picks Rebecca's name will be equal to:
Rebecca's name only appears once out of ten total names:
The chance that Mary picks Rebecca will be equal to one-tenth, or 10%.
Example Question #45 : Data Analysis And Probability
There are 5 packets of hot chocolate left, 2 of which have marshmallows in them. Jeff picks a packet that does not have marshmallows. What are the odds of Charlie randomly choosing a packet with marshmallows after Jeff's pick?
Initially we have 5 packets of how chocolate, 2 of which have marshmallows. We can diagram this, with C representing regular hot chocolate and M representing hot chocolate with marshmallows:
C C C M M
Jeff picks a packet without marshmallows, leaving:
C C M M
If Charlie picks at random, there are 4 packets left and two of them have marshmallows. His chance of getting marshmallows is:
We can reduce the fraction to find our final answer.
Example Question #42 : Probability
If Mary flips a coin twice and it lands on the tails side the first time, what is the chance that it will land on the heads side the second time?
Whether a coin lands on heads or tails the first time it is flipped does not affect how it will land in a future flip. Each flip is an independent event.
When a coin is flipped, there is a 50% chance it will be heads and a 50% chance that it will be tails. Since the first flip has no effect on these odds, the chance Mary's second coin flip will be heads is still equal to 50%.
Example Question #43 : Probability
If 25% of the oranges at a grocery store are underripe, then based on these odds, how many oranges should be underripe if Betty selects 8 oranges?
Given that 25% of the oranges at a grocery store are underripe, and that 25% of 8 is 2, the odds indicate that 2 oranges should be underripe. Therefore, 2 is the correct answer.
Example Question #48 : Data Analysis And Probability
If there are five shirts and five ties in a store and one of each has a rip in it, then what is the probability that a man who buys one shirt and one tie will buy both the ripped shirt and the ripped tie?
If there are 5 shirts in a store and 1 has a rip in it, there is a chance of buying the shirt with the rip.
If there are 5 ties, one of which also has a rip, then the probability of buying the tie with a rip is also .
Therefore, the probability of buying both ripped articles of clothing is .
Example Question #44 : Probability
In a bag of marbles, there are black marbles, blue marbles, green marbles, and yellow marbles. If Bess randomly picks a marble from the bag, which color does she have a chance of selecting?
Green
Black
Yellow
Blue
Black
Given that , the correct answer is "black" because there are black marbles.
Example Question #45 : Probability
If Bob rolls a pair of dice, what is the probability that the sum will be a prime number?
If Bob rolls a pair of dice, the potential numbers that he could roll are below:
Thus, there are 11 possible numbers that he could roll, of which 5 are prime:.
Therefore, the probability of rolling a prime number is .
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