A coin has two sides. heads and tails This coin is flipped four times, and The o

Question

A coin has two sides. heads and tails This coin is flipped four times, and The outcome of Head, or tails is recorded each time. Assuming that either outcome is equally likely each time. what is the probability of hating at least, three heads? Recall (he theorem that says that if a linear homogeneous recurrence relation of order two has a characteristic equation with two distinct roots, say s_1 and s_2. then a_B= u(s_1)^n + v(s_2)^n. where u and v are determined by a_1 and a_2. Use (Ins theorem to solve the recurrence relation a 2a_ =*= 3a_ a_1 = 2, a_2 = 5.

Explanation / Answer

It is given that either outcome is equally likely. When a coin is tossed, either a head will come or tail.

So there are 2 * 2 * 2 * 2 = 16 possibilities when a coin is flipped 4 times.

The possibilities of getting three heads are as follows:

THHH, HTHH, HHTH, HHHT, HHHH

So 5 possibilities are there.

So Answer is 5/16

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