Puzzle Probability

Mr. Corry has been putting together puzzles during the Covid-19 pandemic. The latest one is a 1500-piece picture of a lake. Mr. Corry has broken the puzzle into three major sections: boat pieces, treeline pieces, and mountain pieces. Some of the pieces go to more than one part and some of them go to none of these parts

There are 635 boat pieces, 510 treeline pieces, and 601 mountain pieces, there are 110 pieces that are boat and treeline pieces only, and 235 pieces that are treeline and mountain pieces only. There are no boat/mountain only pieces, but there are some pieces that go to all three sections.

Make a Venn Diagram with three circles putting in all the information you can at this point. You may want to make some short notes also. All of the questions in this quiz deal with this same scenario which will be included in every question.

Select the way you feel below.

• ready to go!

• not ready but going to try

• not ready at all

Mr. Corry has been putting together puzzles during the Covid-19 pandemic. The latest one is a 1500-piece picture of a lake. Mr. Corry has broken the puzzle into three major sections: boat pieces, treeline pieces, and mountain pieces. Some of the pieces go to more than one part and some of them go to none of these parts

There are 635 boat pieces, 510 treeline pieces, and 601 mountain pieces, there are 110 pieces that are boat and treeline pieces only, and 235 pieces that are treeline and mountain pieces only. There are no boat/mountain only pieces, but there are some pieces that go to all three sections.

What is the probability of choosing at random a boat piece given that it is a treeline piece?

Mr. Corry has been putting together puzzles during the Covid-19 pandemic. The latest one is a 1500-piece picture of a lake. Mr. Corry has broken the puzzle into three major sections: boat pieces, treeline pieces, and mountain pieces. Some of the pieces go to more than one part and some of them go to none of these parts

There are 635 boat pieces, 510 tree line pieces, and 601 mountain pieces, there are 110 pieces that are boat and tree-line pieces only, and 235 pieces that are treeline and mountain pieces only. There are no boat/mountain only pieces, but there are some pieces that go to all three sections.

What is the probability of choosing a boat or a mountain piece?

Mr. Corry has been putting together puzzles during the Covid-19 pandemic. The latest one is a 1500-piece picture of a lake. Mr. Corry has broken the puzzle into three major sections: boat pieces, treeline pieces, and mountain pieces. Some of the pieces go to more than one part and some of them go to none of these parts

There are 635 boat pieces, 510 treeline pieces, and 601 mountain pieces, there are 110 pieces that are boat and treeline pieces, and 235 pieces that are treeline and mountain pieces. There are no boat/mountain only pieces, but there are some pieces that go to all three sections.

Show whether the probability of choosing a mountain piece and the probability of choosing a treeline piece are independent. Select an answer and your justification

• independent

• not independent

• $P\left(M\cap T\right)\ \ne P\left(M\right)\times P\left(T\right)$

• $P\left(M\cap T\right)=P\left(M\right)\times P\left(T\right)$

Mr. Corry has been putting together puzzles during the Covid-19 pandemic. The latest one is a 1500-piece picture of a lake. Mr. Corry has broken the puzzle into three major sections: boat pieces, treeline pieces, and mountain pieces. Some of the pieces go to more than one part and some of them go to none of these parts

There are 635 boat pieces, 510 treeline pieces, and 601 mountain pieces, there are 110 pieces that are boat and treeline pieces, and 235 pieces that are treeline and mountain pieces. There are no boat/mountain only pieces, but there are some pieces that go to all three sections.

The probabilities of choosing a treeline only piece and choosing a treeline/boat piece are the same.

How many pieces go to all three parts?

Mr. Corry has been putting together puzzles during the Covid-19 pandemic. The latest one is a 1500-piece picture of a lake. Mr. Corry has broken the puzzle into three major sections: boat pieces, treeline pieces, and mountain pieces. Some of the pieces go to more than one part and some of them go to none of these parts

There are 635 boat pieces, 510 treeline pieces, and 601 mountain pieces, there are 110 pieces that are boat and treeline pieces only, and 235 pieces that are treeline and mountain pieces only. There are no boat/mountain only pieces, but there are some pieces that go to all three sections. The probabilities of choosing a treeline only piece and choosing a treeline/boat piece are the same.

What is the probability of choosing a piece that goes to none of the three sections?

Mr. Corry has been putting together puzzles during the Covid-19 pandemic. The latest one is a 1500-piece picture of a lake. Mr. Corry has broken the puzzle into three major sections: boat pieces, treeline pieces, and mountain pieces. Some of the pieces go to more than one part and some of them go to none of these parts

There are 635 boat pieces, 510 treeline pieces, and 601 mountain pieces, there are 110 pieces that are boat and treeline pieces only, and 235 pieces that are treeline and mountain pieces only. There are no boat/mountain only pieces, but there are some pieces that go to all three sections. The probabilities of choosing a treeline only piece and choosing a treeline/boat piece are the same.

What is the probability of choosing mountain piece given that it is not a boat piece?