A fair die is tossed four times .what is the probability of obtaining a prime each time


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Question Number 192990 by otchereabdullai@gmail.com last updated on 01/Jun/23

$A f a i r d i e i s t o s s e d f o u r t i m e s . w h a t$ $i s t h e p r o b a b i l i t y o f o b t a i n i n g a$ $p r i m e e a c h t i m e$
	Answered by som(math1967) last updated on 01/Jun/23
	$total outcome=6^4 prime numbers={2,3,5} ∴ favourable outcome=3^4 probability a prime each time =(3^4 /6^4 )=(1/(16))$
	$t o t a l o u t c o m e = 6^{4}$ $p r i m e n u m b e r s = {2, 3, 5}$ $∴ f a v o u r a b l e o u t c o m e = 3^{4}$ $p r o b a b i l i t y a p r i m e e a c h t i m e$ $= \frac{3^{4}}{6^{4}} = \frac{1}{16}$
	Commented by otchereabdullai@gmail.com last updated on 01/Jun/23

	$t h a n k y o u s i r!$
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