Question

5. A coin and a die are thrown together make a list of the final outcomes. Find the probability of
getting a head on the coin and a prime number on the die.
[HOT]
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Answer 1

Answer:

probablity of getting head on the coin is 1/2 and getting a prime no is 1,3,5 is 3/6

Answer 2

2 possible result for a coin = { Head , Tail }

For a die ( 6 sided ), 6 possible result =1,2,3,4,5,6

if a coin is tossed and a die is rolled together, (2×6)=12 possible outcomes = sample spaces

List of final outcomes :-

{Head,1} , {Head,2} , {Head,3} , {Head,4} , {Head,5} , {Head,6} , {Tail,1} , {Tail,2} , {Tail,3} , {Tail,4} , {Tail,5} , {Tail,6}

Probability of getting a head on a coin and a prime no. on die :-

probability of getting a head = 1/2

probability of getting a prime number = 3 /6 or 1/2 ( as there are 3 prime numbers 2,3,5 in a die )

Now,

To find the probability of getting a head on coin and prime no. of die, we need to multiply these two probability.

1/2 x 1/2

answer - 1/4 or 25% chances.