Question

Which Law would you use to answer the following question: What is the chance of flipping a coin and getting four heads in a row? (NOTE: H1 = heads on the first roll, H2 = heads on the second roll, etc.)

A) P(4 heads in a row) = P(H1) x P(H2) x P(H3) x P(H4)
B) P(4 heads in a row) = P(H1) + P(H2) + P(H3) + P(H4)

Answer 1

Option A) is correct.

Explanation:

Probability refers to the occurrence of some event.

To find: the probability of flipping a coin and getting four heads in a row.

Let
`H_1,H_2,H_3,H_4` denote heads on the first, second, third and fourth roll.

According to multiplicative law of probability,

The probability of occurrence of two or more events occurring together is equal to the product of the probability of occurrence of each of the events.

Using this rule, the probability of flipping a coin and getting four heads in a row is equal to

`P=P(H_1)* P(H_2)* P(H_3)* P(H_4)`

Option A) is correct.