Question

There are 10 tickets numbered 1 to 10 are kept in a box, what is the probability of drawing a ticket which is an odd number​

Answer 1

Step-by-step explanation:

Given :-

There are 10 tickets numbered 1 to 10 are kept in a box.

To find :-

What is the probability of drawing a ticket which is an odd number ?

Solution :-

Given that

Number of tickets = 10

Numbers on the tickets from 1, 2,...,10

Simple Space = { 1,2,3,4,5,6,7,8,9,10}

=> n(S) = 10

Total number of possible outcomes = 10

Odd numbers are 1,3,5,7,9

Total number of odd numbers = 5

Number of all favourable outcomes

n(E) = 5

Let drawing a ticket from the box randomly is an even E then

Probability of an event E = P(E)

= Number of favourable outcomes/Total number of all possible outcomes

Probability of drawing an odd numbered ticket

=> P(E) = n(E)/n(S)

=> P(E) = 5/10

=> P(E) = 1/2

Answer:-

Probability of drawing an odd numbered ticket from the box is 1/2

Used formulae:-

Probability of an event E = P(E)

= Number of favourable outcomes / Total number of all possible outcomes

Answer 2

Answer:

Given :-

• There are 10 tickets numbered 1 to 10 are kept in a box.

To Find :-

• What is the probability of drawing of a ticket.

Formula Used :-

$\bigstar$ Probability Formula :

$\footnotesize \longrightarrow \sf\boxed{\bold{\pink{Probability =\: \dfrac{Number\: of\: favourable\: outcomes}{Total\: Number\: of\: outcomes}}}}$

Solution :-

$\mapsto$ Number of tickets = 10

$\bigstar$ There are 10 tickets numbered 1 to 10.

$\leadsto$ S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

So,

➳ Total number of outcomes = 10

Now,

$\bigstar$ There are 10 tickets.

From there, the odd number are :

$\leadsto$ 1, 3, 5, 7, 9.

There are 5 favourable outcomes.

So,

➳ Number of favourable outcomes = 5

Given :

• Number of favourable outcomes = 5
• Total Number of outcomes = 10

According to the question by using the formula we get,

$\footnotesize \implies \sf\bold{\purple{Probability =\: \dfrac{Number\: of\: favourable\: outcomes}{Total\: Number\: of\: outcomes}}}$

$\implies \sf Probability =\: \dfrac{\cancel{5}}{\cancel{10}}$

$\implies \sf Probability =\: \dfrac{1}{2}$

$\implies \sf\bold{\red{Probability =\: \dfrac{1}{2}}}$

$\therefore$ The probability of drawing a ticket is ½ .