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a fair coin is flipped four times . use a tree diagram to find the probability of observing. exactly two heads . enter youe answer as a percentage to the nearesr percent
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a fair coin is flipped four times use a tree diagram to find the probability of observing exactly two heads enter youe answer as a percentage to the nearesr per class=

Respuesta :

Answer:

50%

Step-by-step explanation:

So, we divide by another 2! to cancel out double counting of two T's. Finally, if we divide all 6 different ways of getting exactly 2 heads (and 2 tails) in 4 flips by all possible outcomes 2 * 2 * 2 * 2 = 16 we would get the probability of exactly 2 heads in 4 flips.

The probability of observing exactly two heads when a fair coin is flipped four times is found to the nearest percent to be 38%.

What is probability?

It is the ratio that shows the likelihood of an event occurring out of all the other possible events.

  • The tree diagram is drawn. The tree diagram is labeled such that the red lines represent the number of times exactly two heads are observed.
  • The total number of events where exactly two heads are observed = 6
  • The total number of events = 16

∴ P( Getting exactly two heads when a coin is flipped four times) = 6/16 = 0.375

  • Convert the into percent as follows:

0.375*100 = 37.5%

≈ 38%

Therefore, we have found the probability of observing exactly two heads when the coins are flipped four times to the nearest percent as 38%.

Learn more about probability here-https://brainly.com/question/24756209

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