Question

Two dice are rolled simultaneously.
1.Find the probability of getting of doublet. Write the sample space also.
1.A coin is tossed 4 times find the probability of heads coming up at first flip. Write the sample space also.​

Answer 1

Step-by-step explanation:

1. Two dice rolled simultaneously,

Sample Space(S) = {(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)}

P(Probability)

P(getting a doublet) = 6/36 = 1/6

2. Coin tossed 4 times,

Sample Space(S) = ( HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT, THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT )

P(heads at first slip) = 8/16 = 1/2