Question

Two unbiased six faced dice are thrown. The probability that the sum of the numbers on faces of them is a prime number greater than 5 is


explain in step plz​

Answer 1

Answer:

Answer is 1/9

Step-by-step explanation:

Two unbiased dice are thrown-

Sample Space is= 1,1 1,2 1,3 1,4 1,5 1,6

2,1 2,2 2,3 2,4 2,5 2,6

3,1 3,2 3,3 3,4 3,5 3,6

4,1 4,2 4,3 4,4 4,5 4,6

5,1 5,2 5,3 5,4 5,5 5,6

6,1 6,2 6,3 6,4 6,5 6,6

The sum of underlined no.s on faces of them is a prime no. greater than 5.

P(E)= Favourable Outcomes/ Total Outcomes.

P(E)= 4/36.

P(E)= 1/9

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Answer 2

Answer:

1/6

Step-by-step explanation:

the prime numbers that can appear are 3,5,7,11

the prime numbers greater than 5 are 7,11,

total number of occurrences when 2 dice are thrown are 36

number of possible outcomes are:

for 7:(2,5),(5,2),(3,4),(4,3)

for 11:(5,6),(6,5)

so probability=6/36=1/6