Question

two coins are tossed,
find the probability that two heads are obtained. note : each coin has two possible outcomes H (heads)and T tails)

Answer 1

Step-by-step explanation:

two coins are tossed and get

(H, H), (T, T), (H, T)

Total outcomes=3

favourable outcomes=1(H,H)

Probability that two heads are obtained =1/3

I think it is helpful for you

Answer 2

The probability that two heads are obtained is 1/2

Step-by-step explanation:

Given:

two coins are tossed

the possible outcomes each coin has is heads(H) & tails (T)

To find:

probability of getting heads

Solution:

When two coins are tossed

Either one coin shows heads and the other tails, or both show tails, maybe the first one shows tails and the other shows heads, or finally both the coins show heads.

S = {HT, TH, TT, HH}

∴ n(S) = 4

Let X be the event of obtaining two heads

∴ X = {HH}

∴ n(X) = 2

Probability of the event X = P (X) = n(X)

                                                          n(S)

∴ P (X) = 2

               4

∴ P (X) = 1

               2

Thus, the probability of getting two heads is 1/2 or 0.5

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