Question

Two coins are tossed simultaneously. List possible outcomes and find the probability of getting the same results on both coins.

Answer 1

Answer:

i) possible outcomes are : 4

ii) same result probability : 2/4 =1 /2

Step-by-step explanation:

i)total sample space is :{ HH HT TH TT}

ii) same on both coins: {HH TT}

Probability =2 / 4 = 1 / 2

Answer 2

Answer: 1/2

Step-by-step explanation:

When two different coins are tossed randomly, the sample space is given by

S = {HH, HT, TH, TT}

Therefore, n(S) = 4.

(i) getting Both results are same:

Let E1 = event of getting 2 heads or 2 Tails. Then,

E1 = {HH, TT} and, therefore, n(E1) =2

Therefore, P(getting Both Same Results) = P(E1) = n(E1)/n(S) = 2/4 = 1/2