Question

Tossing a coin 8 times probability of obtaining three heads

Answer 1

Experiment: Tossing a coin 8 times

To find: probability of obtaining three heads exactly

We know, for a fair die- P (Heads) =0.5

If we toss a coin, total number of outcomes are = 2

Since, we are tossing a coin 8 times then, the total number of outcomes are -

Out of 8 tosses; exactly 3 Heads will occur in $_{3}^{8}\textrm{C} = 120$ different ways

So, the desired probability is given as-

P (Out of 8 tosses; exactly 3 Heads) =   $\frac{120}{256} = 0.46875$  

Answer: The probability of Tossing a coin 8 times probability and obtaining exactly three heads is

0.47 (rounded to two decimal places)

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