Learn How To Find The Probability Of Two Coins Landing Heads Up And One Coin Landing Tails Up

Three coins are tossed up in the air, one at a time. What is the probability that two of them will land heads up and one will land tails up?01/81/43/8

Answer: 3/8.Explanation:Shown below is the sample space of possible outcomes for tossing three coins, one at a time. Since there is a possibility of two outcomes (heads or tails) for each coin, there is a total of 222=8 possible outcomes for the three coins altogether. Note that H represents heads and T represents tails:HHH HHT HTT HTH TTT TTH THT THHNotice that out of the 8 possible outcomes, only 3 of them (HHT, HTH, and THH) meet the desired condition that two coins land heads up and one coin lands tails up. Probability, by definition, is the number of desired outcomes divided by the number of possible outcomes. Therefore, the probability of two heads and one tail is 3/8, Choice D.

First, we need to find the total number of outcomes when three coins are tossed up in the air, one at a time.
Since each coin has two possible outcomes (head or tail), the total number of outcomes is 2 x 2 x 2 = 8.

Now, we need to find the number of ways in which two coins will land heads up and one coin will land tails up.
There are three possible ways in which this can happen:
1. HHT (where H represents heads and T represents tails)
2. HTH
3. THH

Thus, the number of favorable outcomes is 3.

So, the required probability will be the ratio of favorable outcomes to total outcomes:
Probability = Number of favorable outcomes/Total number of outcomes
Probability = 3/8

Therefore, the probability that two coins will land heads up and one coin will land tails up is 3/8 or 0.375.

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