Question

A coin is tossed 5 times. What is the probability that heads are observed more than 3 times?​

Answer 1

Answer:

when a coin is tossed 5 times; number of possible outcomes = n(S) = 2^5 = 32.

Now, more than 3 heads mean: (4 Heads + 1 Tail) and (5 Heads + 0 Tail).

Now, (4 Heads + 1 Tail) can be obtained from [(5C4)*(1C1)] = 5 outcomes

Also, (5 Heads + 0 Tail) can be obtained from [(5C5)] = 1 outcome

So, the probability of having more than three Heads = (5+1) /32 = (3 / 16)

Answer 2

Answer:

Step-by-step explanation:

when a coin is tossed 5 times; number of possible outcomes = n(S) = 2^5 = 32.

Now, more than 3 heads mean: (4 Heads + 1 Tail) and (5 Heads + 0 Tail).

Now, (4 Heads + 1 Tail) can be obtained from [(5C4)*(1C1)] = 5 outcomes

Also, (5 Heads + 0 Tail) can be obtained from [(5C5)] = 1 outcome

So, the probability of having more than three Heads = (5+1) /32 = (3 / 16)