91影视

The probability is the number of favorable outcomes divided by the number of possible outcomes:

$\text{(i)}P\left(\text{snowmobile owner}\right)=\frac{\#\text{of favorable outcomes}}{\#\text{of possible outcomes}}$

$=\frac{295}{1526}$

$鈮�0.1933$

$\text{(ii)}P\left(\text{Yes or snowmobile owner}\right)=\frac{\#\text{of favorable outcomes}}{\#\text{of possible outcomes}}$

$=\frac{77+212+16+279}{1526}$

$=\frac{584}{1526}$

$鈮�0.3827$

(iii) Definition conditional probability:

$P(A鈭�B)=\frac{P\left(A\text{and}B\right)}{P\left(B\right)}$

The probability is the number of favorable outcomes divided by the number of possible outcomes:

$P(\text{Never used}鈭�\text{Yes})=\frac{P\left(\text{Never used and Yes}\right)}{P\left(\text{Yes}\right)}$

$=\frac{212/1526}{305/1526}$

$=\frac{212}{305}$

$鈮�0.6951$

The probability is the number of favorable outcomes divided by the number of possible outcomes:

$P\left(\text{snowmobile owner}\right)=\frac{\#\text{of favorable outcomes}}{\#\text{of possible outcomes}}$

$=\frac{295}{1526}$

$鈮�0.1933$

Definition of conditional probability:

$P(A鈭�B)=\frac{P\left(A\text{and}B\right)}{P\left(B\right)}$

The probability is the number of favorable outcomes divided by the number of possible outcomes:

$P(\text{snowmobile owner}鈭�\mathrm{Yes})=\frac{P\left(\text{snowmobile owner and}\mathrm{Yes}\right)}{P\left(\mathrm{Yes}\right)}$

$=\frac{16/1526}{305/1526}$

$=\frac{16}{305}$

$鈮�0.0525$

Since the two probabilities $P$(snowmobile owner ) and $P$$(snowmobileowner|Yes)$are not equal, the events are not independent.

The probability is the number of favorable outcomes divided by the number of possible outcomes:

$P\left(\text{snowmobile owner}\right)=\frac{\#\text{of favorable outcomes}}{\#\text{of possible outcomes}}$

$=\frac{295}{1526}$

$鈮�0.1933$

$P\left(\text{No}\right)=\frac{\#\text{of favorable outcomes}}{\#\text{of possible outcomes}}$

$=\frac{1221}{1526}$

$鈮�0.8001$

Multiplication rule and complement rule:

$P\left(A\text{and}B\right)=P\left(A\right)脳P\left(B\right)$

$P(notA=1-P(A)$

Determine the probabilities using the multiplication and complement rule:

$\text{(i)}P\left(2\text{snowmobile owners}\right)=\left(P\right(\text{snowmobile owner}){)}^2$

$=0.{1933}^2$

$鈮�0.0374$

$\text{(ii)}P\left(2\mathrm{No}\right)=\left(P\right(\mathrm{No}){)}^2$

$=0.{8001}^2$

$鈮�0.6402$

$P\left(\text{at least one Yes}\right)=1-P\left(2\text{No}\right)$

$=1-0.6402$

$=0.3598$