Math Problem Statement
Three coins are tossed simultaneously. Find the probability of getting (i) at least 2 heads (ii) no heads
Solution
When three coins are tossed simultaneously, the possible outcomes are as follows:
There are possible outcomes since each coin has two outcomes (head or tail) and there are three coins.
(i) Probability of getting at least 2 heads:
The outcomes where at least 2 heads appear are: There are 4 favorable outcomes. Hence, the probability is:
(ii) Probability of getting no heads:
The only outcome where no heads appear is: There is 1 favorable outcome. Hence, the probability is:
Would you like further details on any part of this problem?
Here are 5 related questions:
- What is the probability of getting exactly 1 head when tossing 3 coins?
- How many outcomes have at least 1 head in a 3-coin toss?
- If 4 coins are tossed, what is the probability of getting at least 2 heads?
- What is the probability of getting all tails when tossing 4 coins?
- How does the probability change if 5 coins are tossed simultaneously?
Tip: In probability, "at least" generally means you count all outcomes greater than or equal to a certain condition.
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Math Problem Analysis
Mathematical Concepts
Probability
Combinatorics
Formulas
Probability of event = (Number of favorable outcomes) / (Total number of outcomes)
Theorems
Basic Probability Theorem
Suitable Grade Level
Grades 6-8
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