Three coins are tossed at once. What is the probability of two heads and one tail?
To find the probability of getting two heads and one tail when three coins are tossed, we need to consider all possible outcomes and determine the number of favorable outcomes
To find the probability of getting two heads and one tail when three coins are tossed, we need to consider all possible outcomes and determine the number of favorable outcomes.
When tossing a fair coin, there are two possible outcomes for each coin: heads (H) or tails (T). Since there are three coins, the total number of possible outcomes is 2^3 = 8.
To determine the number of favorable outcomes, we can use the concept of combinations. We need to consider that out of the three coins, two should show heads and one should show tails.
The possible combinations that satisfy this condition are:
– HHT
– HTH
– THH
So, the number of favorable outcomes is 3.
Therefore, the probability of getting two heads and one tail is given by the ratio of favorable outcomes to total outcomes:
P(two heads and one tail) = Number of favorable outcomes / Total number of outcomes
= 3 / 8
= 3/8 = 0.375, or 37.5%
Hence, the probability of getting two heads and one tail when three coins are tossed is 0.375 or 37.5%.
More Answers:
Understanding Disjoint Events | Exploring the Concept of Mutual Exclusivity and Probability TheoryUnderstanding Complement Events in Probability Theory | Exploring the Relationship Between Events in Probability Calculations
Calculating the Probability of Drawing a Red or White Marble from a Jar