Question

ALES O COUNTNE AND ORALITY Probabies of an event and its complement 8 1 7 A wheel has 8 equally sized slices numbered from 1 to 8 Some are grey and some are white The slice numbered 2 is grey The sice numbered 1, 3, 4, 5, 6, 7, and 8 are white The wheel is sous and stops on a sice random Let X be the event that the wheel stops on a white slice, and let P) be the probablity of Litt not be the event that the wheel stops on a sice that is not white, and let Pince X) be the probability of net X با با 6 3 54 5 (a) for each event in the table, check the outcomes that are contained in the event. Then, in the last column, enter the probability of the event. Outcomes Event Probability 8 1 2 3 4 5 78 5 SOODOO P(x)-0 nex OP(ne X) - 0 (b) Subtract. 1 - P(x) - 0 Check R P S F G H K C V B N M 2 sotion command command option

Answer 1

a)

Event	Outcomes	Probability
1	2	3	4	5	6	7	8
X		$\checkmark$							$P(X)=\frac{1}{8}$
not X	$\checkmark$		$\checkmark$	$\checkmark$	$\checkmark$	$\checkmark$	$\checkmark$	$\checkmark$	$P(\text{not }X)=\frac{7}{8}$

b)

$1-P(\text{not }X)=1-\frac{7}{8}=\frac{1}{8}$

c)

1-P(not X) is same as P(X).