mack, nina, samuel, and tara play a board game. each of them is equally likely to go first in the game…

mack, nina, samuel, and tara play a board game. each of them is equally likely to go first in the game. also, each of them is equally likely to win the game. winning the game is independent of going first. what is the probability samuel goes first and wins the game?\n0\n0.0625\n0.25\n0.5

mack, nina, samuel, and tara play a board game. each of them is equally likely to go first in the game. also, each of them is equally likely to win the game. winning the game is independent of going first. what is the probability samuel goes first and wins the game?\n0\n0.0625\n0.25\n0.5

Answer

Explanation:

Step1: Calcular probabilidad de que Samuel empiece

Hay 4 jugadores, así que la probabilidad de que Samuel empiece es $\frac{1}{4}$.

Step2: Calcular probabilidad de que Samuel gane

Como la probabilidad de ganar es igual para cada jugador, la probabilidad de que Samuel gane es $\frac{1}{4}$.

Step3: Calcular probabilidad conjunta

Como los eventos son independientes, multiplicamos las probabilidades: $\frac{1}{4}\times\frac{1}{4}=\frac{1}{16}= 0.0625$.

Answer:

0.0625