Question

following cards are pick up randomly 1,2,5,6,9 (i) probability of getting a card with no 5​

Answer 1

Given data :

5 cards available with labels 1, 2, 5, 6, 9

To find :

The probability of getting a card with number '5'​

Solution :

Probability = No.of favorable outcomes / Total no.of possible outcomes.

No.of favourable outcomes is nothing but the number of cards labelled with number 5 = 1

Total no.of possible number is nothing but the total number of cards present to pick (1, 2, 5, 6, 9) = 5

Probability of getting a card with number 5

      = the number of cards labelled with number 5 / the total number of cards present to pick

      = 1/5 or 0.2

1/5 or 0.2 is the probability of getting a card with number '5' on it.

Quick fact :

The probability of an event occuring is always lies in between 0 and 1.

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Answer 2

$Total \: possible \: outcomes = \{1,2,5,6,9\}$

$\blue{ Number \: of \: total \: possible \: outcomes =5\: --(1)}$

$Favourable \: outcome$

$= Getting \: a \: card \: with \: number \: 5$

$\pink{Number \: of \: favourable \: outcomes = 1\: ---(2)}$

$\red{ Probability \: of \: getting \: a \:card }$

$\red{ with \: number \:5}$

$= \frac{ (2) }{(1) }$

$\green { = \frac{1}{5}}$

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