What is the probability of getting 6 lollies in 4 chocolate,1gummy bear,3gums,1éclair.?

To calculate the probability of getting 6 lollies out of a total of 4 chocolate, 1 gummy bear, 3 gums, and 1 éclair, we need to first determine the total number of ways to choose 6 lollies from the total number of candies.

Total number of candies = 4 (chocolate) + 1 (gummy bear) + 3 (gums) + 1 (éclair) = 9 candies

Total number of ways to choose 6 lollies from 9 candies = 9C6 = 84 ways

Now, we need to determine the number of ways to choose 6 lollies from the available lollies. Since there are no restrictions on the number of lollies that can be chosen, the number of ways to choose 6 lollies from 6 lollies is 6C6 = 1 way.

Therefore, the probability of getting 6 lollies out of 4 chocolate, 1 gummy bear, 3 gums, and 1 éclair is:

Probability = Number of ways to choose 6 lollies from 6 available lollies / Number of ways to choose 6 lollies from 9 total candies
Probability = 1 / 84
Probability ≈ 0.0119 or 1.19%

The probability of getting a lolly in a random draw is 0.5, and since there are 6 lollies, the probability of getting all 6 is 0.5^6 = 0.015625