Question

A dartboard has 5 equally sized slices numbered from 1 to 5. Some are grey and some are white. The slices numbered 3 and 4 are grey The slices numbered 1, 2, and 5 are white. 

A dart is tossed and lands on a slice at random Let X be the event that the dort lands on a grey slice, and let P(x) be the probability of X 

Let not be the event that the dart lands on a slice that is not grey, and let Pinot X) be the probability of not X. 

(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

 

Answer 1

Event	Outcomes	Probability
1	2	3	4	5
X			$\bullet$	$\bullet$		$P[X]=\frac{2}{5}$
not X	$\bullet$	$\bullet$			$\bullet$	$P[not\:X]=\frac{3}{5}$

b)

2 3 1-P[X] = 1 -

c) 1 - P[X] is the same as P[not X]