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