A jar of jellybeans contains 196 jellybeans. Of those 32 have the flavor "Buttered Popcorn". If...

A jar of jellybeans contains 196 jellybeans. Of those 32 have the flavor "Buttered Popcorn". If a handful of jellybeans are randomly pulled out of the jar - a total of 18 jellybeans - find the probability that 2 of them have the flavor "Buttered Popcorn".

Solutions

Expert Solution

All possible ways 18 jellybeans can be drawn from the jar = 196C18

Here C is the combination

Number of ways 2 Buttered Popcorn flavour jellybeans is selected = 32C2

Number of jellybean that are not Buttered Popcorn flavoured = 196 - 32 = 164

Number of ways 16 jellybean is selected from 164 jellybeans = 164C16

Number of ways such that among 18 jellybeans drawn 2 are Butter popcorn flavoured = (164C16 32C2)

Probability that 2 of them have the flavor "Buttered Popcorn" = ( Number of ways such that among 18 jellybeans drawn 2 are Butter popcorn flavoured All possible ways jellybeans can be drawn from the jar)

Probability that 2 of them have the flavor "Buttered Popcorn" = ((164C16 32C2) 196C18)

Probability that 2 of them have the flavor "Buttered Popcorn" = 0.2395

Answer: 0.2395

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Harris and Mya each have a jar that contains 6 marbles. In each jar, d of...

Harris and Mya each have a jar that contains 6 marbles. In each jar, d of the marbles are blue and the remaining marbles are green. Harris will take out a marble from his jar at random and then replace it. He will then take out another marble from his jar at random and replaces it. Mya will take out two marbles from her jar at random without replacement. The probability that Mya observes two blue marbles is 80% of...

A bag contains 9 red, 8 orange, and 6 green jellybeans. What is the probability of...

A bag contains 9 red, 8 orange, and 6 green jellybeans. What is the probability of reaching into the bag and randomly withdrawing 17 jellybeans such that the number of red ones is 7, the number of orange ones is 7, and the number of green ones is 33? Express your answer as a fraction or a decimal number rounded to four decimal places.

A bag contains 9 red, 8 orange, and 6 green jellybeans. What is the probability of...

You have a jar that contains 4 pink marbles, 3 yellow marbles,and 5 gray marbles....

You have a jar that contains 4 pink marbles, 3 yellow marbles, and 5 gray marbles.You will take out a marble at random and then replace it. You will do this a total of8 times.(a) Given that you observe at least 6 pink marbles, what is the probability that youobserve 1 yellow marble and 1 gray marble?

Federal law requires that a jar of peanut butter that is labeled as containing 32 ounces...

Federal law requires that a jar of peanut butter that is labeled as containing 32 ounces must contain at least 32 ounces. An independent consumer advocate feels that a certain peanut butter manufacturer is shorting customers by under filling the jars so that the mean content is less than 32 ounces as stated on the label. The hypotheses tested are . a) If you owned the peanut better plant which type of error would you consider more serious (from a...

a bowl contains 1 red, 1 black and 1 yellow jellybean. Two jellybeans are selected in...

a bowl contains 1 red, 1 black and 1 yellow jellybean. Two jellybeans are selected in succession, without first being replaced. Draw a tree diagram and represent all possible combinations. Two jelly beans are selected in succession, with the first jellybean being replaced before second is drawn. Draw a tree diagram representing all combinations. If a card is drawn from a deck find the probabilty of getting a diamond. a 5 or a heart, a 5 and a heart, a...

A bag contains 40 jellybeans with 5 different colors. Each color is equally represented. You are...

A bag contains 40 jellybeans with 5 different colors. Each color is equally represented. You are interested in randomly drawing one jellybean at a time and checking the color before eating it. You want to know how many red jelly beans you will pull out of the bag during the first 10 draws. Can the probability be found by using the binomial probability formula? Why or why not? No. The trials are fixed, but the events are independent. Yes. The...

A jar contains 100 coins. One of the coins is a trick coin with heads on...

A jar contains 100 coins. One of the coins is a trick coin with heads on both sides. The other 99 coins are ordinary coins with heads probability .5. A coin is selected at random. (a) What is the probability the coin selected is the trick coin? (b) The coin selected is tossed 7 times, and it happens to land heads each of those times. Now what is the probability it is the trick coin?

Water in a closed jar that contains 0.05000 mg/ L of bicarbonate, as the ion, at...

Water in a closed jar that contains 0.05000 mg/ L of bicarbonate, as the ion, at a pH of 8.250. Find: a) Normality of all acid-base species (eq/L) 1 pt. b) Exact Alkalinity of the solution (Use four significant figures; mg/L as CaCO3) at 25°C. 1 pt. Hint: Bicarbonate is not the only carbonate species in the water. Use the equilib. relationship: HCO3- Û H+ + CO32- pKa2 = 10.33 at 25°C [Table 2-3 EE&S] c) Approximate Alkalinity of the...

2. A jar contains 5 balls, 4 of which are blue and one red. (a) If...

2. A jar contains 5 balls, 4 of which are blue and one red. (a) If you draw balls one at a time and replace them, what is the expected draw at which you will see the red ball? (b) If you draw balls one at a time, but without replacing them, what is the expected time to see the red ball? 3. A jar contains 1 red ball and an unknown number of blue balls. You make 20 draws...

Subjects