Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 1 of 39 what is the number of possible outcomes when tossing 6…

Question

question 1 of 39 what is the number of possible outcomes when tossing 6 coins at once? a. 16 b. 36 c. 64 d. 32

Explanation:

Step1: Determine each coin's outcomes

Each coin has 2 possible outcomes (heads or tails), so for 1 coin, it's 2.

Step2: Calculate total outcomes for 6 coins

Using the multiplication principle, for \( n \) independent events each with \( k \) outcomes, total outcomes are \( k^n \). Here, \( k = 2 \), \( n = 6 \), so \( 2^6 = 64 \).

Answer:

C. 64