Answered: I have a large jar of red and green…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Concept explainers

Question

I have a large jar of red and green M&M’s with 55% red M&M’s. I plan to pick 7 M&M’s.

1. I want to find the probability that I get 2 red M&M’s out of 7.

d) How many different ways can you get 2 red M&Ms out of 7? Use the formula for the binomial coefficient to find that number.

e) Use your answer from (d) and the binomial formula to calculate the probability that you get 2 red M&M’s out of 7.

f) Use your calculator to find the probability that I get 3 red candies out of the 7 picked

Expert Solution

Step 1

The binomial coefficient is computed by $(\begin{matrix} n \\ k \end{matrix}) = \frac{n!}{k! (n - k)!}$ which gives the number of ways to select k objects from n objects.

Here it is asked to find the number of ways to draw 2 red candy out of 7, so substitute $n = 7 and k = 2$ in the formula of binomial coefficient.

$\begin{array}{rcl} Number of ways & = & (\begin{matrix} 7 \\ 2 \end{matrix}) \\ = & \frac{7!}{2! (7 - 2)!} \\ = & \frac{7 \cdot 6 \cdot 5!}{2 \cdot 5!} \\ = & 21 \end{array}$

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions