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Chapter 5: Q .79. (page 296)

Box of chocolates According to Forrest Gump, “Life is like a box of chocolates. You never know what you’re gonna get.” Suppose a candymaker offers a special “Gump box” with 20 chocolate candies that look alike. In fact, 14 of the candies have soft centers and 6 have hard centers. Suppose you choose 3 of the candies from a Gump box at random. Find the probability that all three candies have soft centers

Short Answer

Expert verified

The probability is 0.319.

Step by step solution

01

Step 1:Given information

Number of chocolate candies that look same=20

Number of candies that have soft corner =14

Number of candies that have hard corner=6

02

Step 2:Calculation

The probability that all three randomly selected candies have soft centres can be calculated as:

P(All three have soft centers)=C314C320

=14!(14-3)!×3!20!(20-3)!×3!

=3641140

=0.319

Thus, the required probability is 0.319.

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