Question

Two dice are rolled simultaneously fund the probability (a) of event A that the sum of the digits on the upper face is a prime number (b) of event B that the sum of the digits on the upper faces is a multiple of 5

Answer 1

Answer:

a. 0.6 b. 0.8

Step-by-step explanation:

So,

A dice has 6 faces [1,2,3,4,5,6]

       In Case A,

                 Favorable Outcomes are: 1+1,1+2,2+3,2+5,3+4,4+1,5+6,6+1,]

therefore,

                   Favorable Outcome= 8

                   Total Possible Outcome = 12

  So,

'                 $P(E)$ = favorable outcome/ total possible outcome

                          = 8/12

                          = 0.6

In Case B,

             Favorable Outcomes are [5]

therefore,

                   favorable Outcomes = 1

                   total possible outcome = 12

So,  

                   $P(E)$ = favorable Outcome/ total outcome

                            = 1/12

                            =0.08