Question

For this assignment, leave all answers as simplified fractions.A bag contains letter tiles that spell the name of the state MISSISSIPPI. Find the theoretical probabilityof drawing one tile at random for each of the following.1. P(M)2. P(S)3. P)4. P(not M)5. P(not S)6. P(not 1)

Answer 1

ANSWER

$\begin{gathered} 1)\frac{1}{11} \\ 2)\frac{4}{11} \\ 4)\frac{10}{11} \\ 5)\frac{7}{11} \end{gathered}$

EXPLANATION

From the given question;

MISSISSIPPI has 11 words

The number of M is 1

The number of S is 4

Hence;

1.

$P(M)=\frac{1}{11}$

2. P(S);

$P(S)=\frac{4}{11}$

4. P(not M) ;

$\begin{gathered} 1-P(M) \\ =1-\frac{1}{11} \\ =\frac{10}{11} \end{gathered}$

5. P(not S);

$\begin{gathered} P(not\text{ S})=1-P(S) \\ =1-\frac{4}{11} \\ =\frac{7}{11} \end{gathered}$