Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 10 of 50 the probability of flipping a coin and getting a \hea…

Question

question 10 of 50
the probability of flipping a coin and getting a \head\ is 0.5. if the coin is flipped two times, the probability of getting a \head\ two times is 0.25
true
false

Explanation:

Step1: Recall independent events formula

For independent events, the probability of both occurring is \( P(A \cap B) = P(A) \times P(B) \). Here, flipping a coin twice are independent events.

Step2: Calculate probability of two heads

Probability of head in one flip \( P(H) = 0.5 \). For two flips, \( P(H \cap H) = 0.5 \times 0.5 = 0.25 \). So the statement is true.

Answer:

True