Question

The probability that a person who undergoes a kidney operation will recover is $0.7$. if there are six patients who undergoes similar operations, then the probability that all recover is

• A. ($0.7$)${}^6$
• B. ($0.7$)${}^3$
• C. $(0.7$)${}^6$($0.3$)${}^6$
• D. ($0.7$)${}^3$($0.3$)${}^6$

Answer 1

The correct option is A ($0.7$)${}^6$

Probability$=0.7\times 0.7\times 0.7\times 0.7\times 0.7\times 0.7$

$={\left(0.7\right)}^6$

OR

$P(X=6){=}^6{C}_6{\left(0.7\right)}^6{\left(0.3\right)}^0$

$={\left(0.7\right)}^6$