Two coins are tossed. Find P(getting exactly one tail).

Class 8Data HandlingData Handling

Step-by-Step Solution

Outcomes: HH, HT, TH, TT. Exactly one tail = HT, TH → 2 favourable.

P = \frac{2}{4} = \frac{1}{2}

Answer: B) 1/2

**Theoretical**:

P = \frac{f a v o u r ab l e}{t o t a l}

, assuming all outcomes equally likely.

P

(heads on a fair coin) =

\frac{1}{2}

.

**Experimental**:

P = \frac{t im ese v e n t occ u rre d}{t o t a lt r ia l s}

. After 100 coin tosses with 47 heads, experimental

P

(heads) =

\frac{47}{100} = 0.47

.

Law of large numbers (informally): the more trials you

r u n

, the closer experimental probability gets to theoretical probability. So

\frac{47}{100}

is plausible;

\frac{47}{1 , 000 , 000}

would be very unusual for a fair coin.

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