Question

Find the probability to flip a heads up and a heads up by the second flip determine independent and dependent ​.

A) Independent, 1/2 x 1/2
B) Dependent, 1/2 x 1/2
C) Independent, 1/4
D) Dependent, 1/4

Answer 1

The probability of flipping two heads with two independent coin flips is 1/4, as the probability of getting a head on each flip (1/2) is multiplied together.

Step-by-step explanation:

When considering the probability of flipping a heads on the first coin flip and then another heads on the second coin flip, these events are independent because the outcome of the second flip does not depend on the outcome of the first flip. The probability of flipping a heads on a fair coin is 1/2, and because these events are independent, the overall probability of both flips resulting in heads is the product of their individual probabilities. Therefore, the probability is:

• P(Heads on first flip) = 1/2
• P(Heads on second flip) = 1/2
• P(Both flips are heads) = P(Heads on first flip) × P(Heads on second flip) = 1/2 × 1/2 = 1/4

So the correct answer is Independent, 1/4.