There are 35 marbles in a bag: 9 blue marbles, 8 green marbles, 4 red marbles, 8 white marbles, and 6 yellow marbles. Find P(red). Write the probability as a fraction in simplest form, a decimal, and a percent.

2. A number cube with the numbers 1 through 6 is rolled. Find P(number is greater than or equal to 3) Write as Fraction.

3. A multiple-choice question has five possible answers. What are the odds in favor of guessing the right answer? Write as Ratio.

THx!

FOr 1 i think 4/35 idk the rest

for three ther is no choice for 1/5

sorry ms sue

Prob in favour of guessing right = 1/5

so the prob of NOT guessing right = 4/5

odds in favour of guessing right
= (1/5) / (4/5)
= 1/4 or 1 : 4

Find the least number of marbles so that heaps of 12, 15 or 20

marbles can be made

To answer these questions, we can use the probability formula:

Probability (P) = Number of favorable outcomes / Total number of possible outcomes

Let's go through each question step by step.

1. Find P(red):

In this scenario, there are 35 marbles in total, and 4 of them are red marbles.

P(red) = Number of red marbles / Total number of marbles
= 4 / 35

To write this probability as a fraction in simplest form, you can't simplify further because 4 and 35 have no common factors other than 1. Therefore, the fraction is already in its simplest form.

To convert this fraction to a decimal, you divide 4 by 35 using a calculator or long division. This gives you approximately 0.1143.

To express the decimal as a percentage, you multiply the decimal by 100. So, P(red) is approximately 11.43%.

2. Find P(number is greater than or equal to 3):

Since the number cube has the numbers 1 through 6, there are six possible outcomes.

Out of these six outcomes, there are four numbers greater than or equal to 3: 3, 4, 5, and 6.

P(number is greater than or equal to 3) = Number of numbers greater than or equal to 3 / Total number of possible outcomes
= 4 / 6

To write this probability as a fraction, both 4 and 6 can be divided by 2:
P(number is greater than or equal to 3) = 2 / 3

3. Find the odds in favor of guessing the right answer:

In a multiple-choice question with five possible answers, there is only one correct answer.

Odds in favor = Number of favorable outcomes / Number of unfavorable outcomes

Since there is only one correct answer and four incorrect answers, the odds in favor of guessing the right answer are 1 to 4.

To write this as a ratio, you can express it as 1:4.

2. Pr(equal or greater than 3)=Pr(3)+pr(4)+pr(5)+pr(6)=4/6

3. 1/5