Question

A forecast is to be made of the results of five cricket matches, each of which can be a win or a draw or a loss for Indian team. Let,
$p=$ number of forecasts with exactly $1$ error
$q=$ number of forecasts with exactly $3$ error
$r=$ number of forecasts with all five error
Then the correct statement(s) is/are

• A. $2q=5r$
• B. $8p=q$
• C. $8p=5r$
• D. $2(p+r)>q$

Answer 1

Answer: (A), (B), (D)

The correct options are
A $2q=5r$
B $8p=q$
D $2(p+r)>q$

$p={}^5{C}_1\times {}^2{C}_1=10q={}^5{C}_3\times {(}^2{C}_1{)}^3=80r={}^5{C}_5\times {(}^2{C}_1{)}^5=32\Rightarrow 2q=5r,8p=q,2(p+r)>q$