A person plays a game of rolling a dice. He picks an orange from a basket if an even number comes and throws a coin in case of odd number. Write the sample space for him. Find the probability of getting head from the sample space.

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Solution

Dear Student,

$S a m p l e S p a c e o f r o l l i n g a d i c e = \{1, 2, 3, 4, 5, 6\} A n o r a n g e i s p i c k e d w h e n \{2, 4, 6\} i s o b t a i n e d o n d i c e . A c o i n i s t h r o w n w h e n \{1, 3, 5\} i s o b t a i n e d o n d i c e . O v e r a l l S a m p l e S p a c e = \{1 H, 1 T, 2 (p i c k o r a n g e), 3 H, 3 T, 4 (p i c k o r a n g e), 5 H, 5 T, 6 (p i c k o r a n g e)\} P r o b a b i l i t y o f g e t t i n g a h e a d = \frac{3}{9} = \frac{1}{3}$

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A person plays a game of rolling a dice. He picks an orange from a basket if an even number comes and throws a coin in case of odd number. Write the sample space for him. Find the probability of getting head from the sample space.

Dear Student, Sample Space of rolling a dice = 1,2,3,4,5,6An orange is picked when 2,4,6 is obtained on dice.A coin is thrown when 1,3,5 is obtained on dice.Overall Sample Space = 1H,1T,2pick orange,3H,3T,4pick orange,5H,5T,6pick orangeProbability of getting a head = 39 = 13 Regards