Question

each of the 11 letters of the word MATHEMATICS is written on a separate card. the cards are placed faced down and shuffled. a card is chosen at random.what is the probability that it will show each of the following?

Answer 1

$P(M) = 2/11P(A) = 2/11P(T) = 2/11P(E) H = 1/11P(E) = 1/11P(I) = 1/11P(C) = 1/11P(S) = 1/11$

Answer 2

Answer:

P [M] = 0.18

P [A] = 0.18

P [T] = 0.18

P [H] = 0.09

P [E] = 0.09

P [I] = 0.09

P [C] = 0.09

P [S] = 0.09

Step-by-step explanation:

the letter on each cards are: M  A  T  H  E  M  A  T  I  C  S

total 11 letters

M repeated twice

A repeated twice

T repeated twice

H  E  I C S - occur only once

$P[E]=\frac{number \ of \ favorable \ outcomes}{total \ number \ of \ outcomes}$

P [M] = $\frac{2}{11}$ = 0.18

P [A] = $\frac{2}{11}$ = 0.18

P [T] =  $\frac{2}{11}$ = 0.18

P [H] = $\frac{1}{11}$ = 0.09

P [E] = $\frac{1}{11}$ = 0.09

P [I] = $\frac{1}{11}$ = 0.09

P [C] = $\frac{1}{11}$ = 0.09

P [S] = $\frac{1}{11}$ = 0.09