Question

10 Two-dies are med on the digits 0, 1, 2, 3, 4 without rep Complete e following wivity to find the probability that the number a Then the the event that the number so formed is a prime number (Formula)​

Answer 1

Answer:

(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)}

There are total 36 possible cases out of which favorable cases i.e. getting both prime numbers are { (2,2),(2,3),(2,5),(3,2),(3,3),(3,5),(5,2),(5,3),(5,5)}

Probability = n(favorable cases)/n(sample space)

Probability = 9/36 = 1/4