Question

what is the chance of throwing a total of 5 or 6 in a single throw of dice​

Answer 1

Explanation:

Here while throwing dish

$\\\qquad\sf{:}\dashrightarrow Sample\:space=s=${1,2,3,4,5,6}

$\\\qquad\qquad\sf{:}\dashrightarrow \mid s\mid =6$

Let

the chance of coming sum of 5 or 6 be E

$\\\qquad\qquad\sf{:}\dashrightarrow E=${5,6}

$\\\qquad\qquad\sf{:}\dashrightarrow \mid E\mid=2$

We have to find p (E)

$\\\qquad\qquad\sf{:}\dashrightarrow P (E)=\dfrac {\mid E\mid}{\mid S\mid}$

$\\\qquad\qquad\sf{:}\dashrightarrow P (E)=\dfrac {2}{6}$

$\\\qquad\qquad\sf{:}\dashrightarrow p(E)=\dfrac {1}{3}$

$\\\\\therefore\sf Probability\;of\:coming\:5\:or\:6\;is\:\dfrac {1 }{3}.$

Answer 2

Answer:

Event A is getting a 5 or 6 on die

A= 5 or 6

n(A)= 2

Sample space S={1,2,3,4,5,6}

n(S)= 6

p(A)= n(A)/n(S)

p(A)= 2/6

p(A)= 1/3