A bag contains 3 blue marbles, 9 green marbles, and 11 yellow marbles. Twice you draw a marble and replace it. Find P(blue, then green).
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(1) A coin is tossed, and a standard number cube is rolled. What is the probability that the coin shows heads and the number cube shows an even number?
Answer = 1/4
(2) A bag contains 3 blue marbles, 9 green marbles, and 11 yellow marbles. Twice you draw a marble and replace it. Find P(blue, then green).
Answer = 27/529
(3) The diagram shows the contents of a jar of marbles. You select two marbles at random. One marble is drawn and not replaced. Then a second marble is drawn. What is the probability of selecting a red marble and then another red marble?
Answer = 1/20
(4) From a committee of 6 girls and 4 boys, a name is selected. Then another name is selected. What is the probability that both people drawn will be girls?
Answer = 1/3
(5) Write the number of permutations in factorial form. Then simplify.
J K L M N O P
Answer = 7!;5,040
(6) How many 2-digit numbers can be formed using only the digits 2, 3, 5, and 6, if the digits are not be repeated within a number?
Answer = 12
(7) A juice company decides to test five different brands of juice. The different brands have been labeled A¸ B¸ C¸ D¸ and E. The company decides to compare each brand with the other brands by pairing together different brands. How many different pairs will result by selecting two different brands at a time?
Answer = 10
(8)There are 9 candidates running for 3 seats on a committee. How many different election results are possible?
Answer = 84
(9) How many different ways are there to rearrange the letters of the word EXAM, if you don't care if the result is a recognizable word?
Answer = 24
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B = 3/23
G = 9/23
Take it from there.
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But.. I'm really struggling with the rest of the questions :( Can you post the answers for the combinations quiz; course 2; Unit 2 :D PLS? I already did the quiz but if I get lower than 70, my parents take away my computer D: plz, plz, plz?
3/23 to get a blue marble You replace the marble so there are still 23
9/23 to get a green marble.
Multiply those 2 fractions to get your answer
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To find the probability of drawing a blue marble followed by a green marble, you need to consider the total number of possible outcomes and the number of favorable outcomes.
Step 1: Determine the total number of possible outcomes.
When you draw a marble and replace it, the total number of possible outcomes remains the same for each draw. In this case, you have 3 + 9 + 11 = 23 marbles in total. So, the denominator for the probability calculation will be 23 for both draws.
Step 2: Determine the number of favorable outcomes.
To find the number of favorable outcomes, you need to consider that you are drawing a blue marble first followed by a green marble. There are 3 blue marbles and 9 green marbles, so the number of favorable outcomes is 3 × 9 = 27.
Step 3: Calculate the probability.
The probability of drawing a blue marble followed by a green marble can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes:
P(blue, then green) = Number of favorable outcomes / Total number of possible outcomes
P(blue, then green) = 27 / 23 * 23
P(blue, then green) = 1
Therefore, the probability of drawing a blue marble and then a green marble is 1.