Question

two fair dice are rolled simultaneously. The probability of getting 3 comes up at least once is. a) 5/36. b) 11/36. c) 12/36. d) 23/36​

Answer 1

Answer:

11/36

Step-by-step explanation:

(1,3),(2,3),(3,3),(4,3),(5,3),(6,3),(3,1),(3,2),(3,4),(3,5),(3,6)

Answer 2

Answer:

b) 11/36

Step-by-step explanation:

Two dice are rolled then we get, 36 outcomes as:  

(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)

​Let E be the event of getting a 5 at least once

No. of favorable outcomes = 11

[i.e.,(1,5)(2,5)(3,5)(4,5)(5,1)(5,2)(5,3)(5,4)(5,5)(5,6)(6,5)]

P(E)=  11/36

​