Question

CloudPort

Answer 1

Answer:

(1) $P(Heart\ and\ Club) = 0.0494$

(2) $S = \{B,B,B,B,R,R,R,R,R,Y,Y,Y,Y,Y,Y,Y,Y\}$

Step-by-step explanation:

Question 1:

Given

$Hearts = 8$

$Diamond = 3$

$Club=2$

$Spade = 5$

$Total = 18$

Required

Probability of 1 heart and 1 club

This probability is calculated as:

$P(Heart\ and\ Club) = P(Heart) * P(Club)$

$P(Heart\ and\ Club) = \frac{n(Heart)}{Total} * \frac{n(Club)}{Total}$

$P(Heart\ and\ Club) = \frac{8}{18} * \frac{2}{18}$

$P(Heart\ and\ Club) = \frac{8*2}{18*18}$

$P(Heart\ and\ Club) = \frac{16}{324}$

$P(Heart\ and\ Club) = 0.0494$ -- approximated

Question 2:

Given

$Blue = 4$

$Red= 5$

$Yellow = 8$

Required

Determine the sample space

Represent the blue balls with B, the red with R and the yellow with Y.

The sample space (S) is:

$S = \{B,B,B,B,R,R,R,R,R,Y,Y,Y,Y,Y,Y,Y,Y\}$