Answered

Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

You toss a fair coin 4 times. What is the probability that:

a. you get all Tails?

b. you get at least one Head?

(round to 4 decimal places)

Sagot :

dchoo333

Answer:

a. 1/16 which is 6.2500%

b. 15/16 which is 93.7500%

Step-by-step explanation:

a. For each 'coin toss' the probability of getting tails is 1/2. If you toss the coin 4 times, the probability of getting tails all times is 1/2 * 1/2 * 1/2 * 1/2 = 1/16.

b. This one is a bit trickier.

When flipping four coins, you either could get all four heads or you could get at least one tail. Both events cannot happen at the same time. This means the two events are complementary.

Complementary events occur when there are only two outcomes, for example passing an exam or passing an exam. The complement means the exact opposite of an event.

Complementary probabilities always add to 1.

We saw in part (a) that the probability you get all tails is 6.25% or 1/16.

0.0625 was the probability of getting all four heads, so 0.9375 ​is the probability of anything else (getting one or more tails).  

The decimal 0.9375 converts to the fraction 15/16.

The probability is 93.75%.

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.