SaiBook.us Math

Home Course Section Lesson

Lesson Topics Discussion Quiz: Class Homework

Example1

Title: Probability

Grade Lesson s4-l3

Explanation: The best way to understand SAT-4 is by looking at some examples. Take turns and read each example for easy understanding.

Examples

Topics → Definition Example1 Example2

When you flip three fair coins, what is the probability of getting exactly two heads?

Step: 1

Each coin has 2 possible outcomes (heads or tails). Since there are 3 coins flipped, the total number of outcomes is \$n(S) = 2^3 = 8\$.

We need to find the number of outcomes where exactly two heads occur. These outcomes are HHT, HTH, and THH n(E) = 3.

Explanation:

Finding the total number of outcomes (n(S)) and Finding favorable outcomes (n(E)).

Step: 2

The probability of an event is defined as the ratio of the number of favorable outcomes to the total number of outcomes. P(Exactly two heads)= \$(n(E))/(n(S))\$

Substituting the values: P(Exactly two heads) = \$3/8\$.

Explanation:

Therefore, the probability of getting exactly two heads when flipping three fair coins is \$3/8\$.