Calculus and Above

Calculus Questions? Ask a Mathematician for Answers ASAP

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Hello. I'd like to ask a...

Hello.

I'd like to ask a question on 2 of my maths textbook questions.

My textbook sometimes has errors in the answer section, and this is the main reason why I would like to ask you, and verify the answer.

1) Two spinners have numbers 1-5 on each of them with equal probabilities of each number. The two spinners are spun. Find the probability of getting a 2 and any other number.

I used a tree& lattice diagram and got 9/25 for my answer.

The answer in the textbook was 1/5.

I asked my maths teacher and he gave me the following solution:

1/5×5/5×2= 1/5×2= 2/5

If " 2 and any other number " means that the first spinner (S.1) will be one, and the second spinner (S.2) would be any number; thus time it by two to get both ways, I understand the answer will be 2/5. However, since the answer the teacher's answer and the textbook's were different, I am very confused.

2) A spinner has the numbers 1-5 on each of them with equal probabilities of each number. A bag contains discs numbered 1-6. The spinner is spun and a disc is selected. Find the probability of obtaining a 2 and an even number.

I used a tree& lattice diagram and got 2/15 (4/30) for my answer.

My teacher gave me the following solution:

1/5×1/2+ 2/5×1/6 = 5/30= 1/6.

Again, I have a difficulty solving the "Find the probability of obtaining number(x) and number(y)". These are the only questions I don't fully understand the solution, so I would like to be explained in easy words please, ASAP. Thank you.

I'd like to ask a question on 2 of my maths textbook questions.

My textbook sometimes has errors in the answer section, and this is the main reason why I would like to ask you, and verify the answer.

1) Two spinners have numbers 1-5 on each of them with equal probabilities of each number. The two spinners are spun. Find the probability of getting a 2 and any other number.

I used a tree& lattice diagram and got 9/25 for my answer.

The answer in the textbook was 1/5.

I asked my maths teacher and he gave me the following solution:

1/5×5/5×2= 1/5×2= 2/5

If " 2 and any other number " means that the first spinner (S.1) will be one, and the second spinner (S.2) would be any number; thus time it by two to get both ways, I understand the answer will be 2/5. However, since the answer the teacher's answer and the textbook's were different, I am very confused.

2) A spinner has the numbers 1-5 on each of them with equal probabilities of each number. A bag contains discs numbered 1-6. The spinner is spun and a disc is selected. Find the probability of obtaining a 2 and an even number.

I used a tree& lattice diagram and got 2/15 (4/30) for my answer.

My teacher gave me the following solution:

1/5×1/2+ 2/5×1/6 = 5/30= 1/6.

Again, I have a difficulty solving the "Find the probability of obtaining number(x) and number(y)". These are the only questions I don't fully understand the solution, so I would like to be explained in easy words please, ASAP. Thank you.

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