Question

a team has won 54 macthes out of 180 matches that it has played so far. find the probability that the team :

(a) Win its next match.

(b) does not win its next match.​

Answer 1

Given:-

⠀

• Total number of matches played = 180

• Number of matches won = 54

⠀

To Find:-

⠀

• The probability that the team :

⠀

• Win its next match.

• does not win its next match.

⠀

STEP BY STEP EXPLANATION:-

⠀

(a) P ( winning the next match ) = $\sf \frac{54}{180} = \frac{3}{10}$

⠀

(b) the events

⠀

' Winning the next match '

⠀

⠀⠀⠀⠀⠀⠀ And

⠀

' Not winning the next match '

⠀

⠀are complementry event.

⠀

Thus,

⠀

P ( Not winning the next match ) = 1 - P

( Winning the next match )

⠀

$\sf \longrightarrow1 - \frac{ 3}{10} \\ \\ \sf \longrightarrow \frac{7}{10}$

Answer 2

★ Given :

• Matches won : 54
• Total matches : 180

★ To Find :

• Probability of winning next match .
• Probability of losing next match .

★ Formula :

$\large{ \boxed{ \sf{ \gray{Probability = \frac{Favourable \: outcome}{Total \: outcome} }}}}$

★ Solution :

(i) Winning next match :

$\sf \dfrac{54}{180} = \dfrac{ \cancel{54}}{ \cancel{180}} = 0.3$

______________________

(ii) Losing next match :

$\sf 1 - \dfrac{3}{10} = \dfrac{7}{10} = 0.7$

______________________

So , the probability of winning : 0.3

probability of losing : 0.7