a dreidel is a four - sided spinning top. each side of the dreidel has a letter from the hebrew alphabet: נ…

a dreidel is a four - sided spinning top. each side of the dreidel has a letter from the hebrew alphabet: נ (nun), ג (gimmel), ה (hay), and ש (shin). max spins the dreidel twice. he says the probability of spinning exactly one ש is 1/4. why is maxs statement incorrect? use the drop - down menus to explain. click the arrows to choose an answer from each menu. a tree diagram would show that the number of possible outcomes for two spins is choose... with choose... outcomes showing exactly one ש. the probability of spinning exactly one ש in two spins is choose... max gave the probability of choose...

a dreidel is a four - sided spinning top. each side of the dreidel has a letter from the hebrew alphabet: נ (nun), ג (gimmel), ה (hay), and ש (shin). max spins the dreidel twice. he says the probability of spinning exactly one ש is 1/4. why is maxs statement incorrect? use the drop - down menus to explain. click the arrows to choose an answer from each menu. a tree diagram would show that the number of possible outcomes for two spins is choose... with choose... outcomes showing exactly one ש. the probability of spinning exactly one ש in two spins is choose... max gave the probability of choose...

Answer

Explanation:

Step1: Calculate total number of outcomes

Each spin has 4 possible results. For 2 spins, by the multiplication - principle, the total number of possible outcomes is $4\times4 = 16$.

Step2: Calculate number of outcomes with exactly one 'ש'

The cases of getting exactly one 'ש' in two spins are: (ש, non - ש) and (non - ש, ש). The probability of getting 'ש' in a single spin is $\frac{1}{4}$ and the probability of getting non - 'ש' is $\frac{3}{4}$. The number of outcomes with exactly one 'ש' is $2\times1\times3=6$ (2 cases: first spin is 'ש' or second spin is 'ש', 1 way to get 'ש' and 3 ways to get non - 'ש').

Step3: Calculate the correct probability

The probability of getting exactly one 'ש' in two spins is $\frac{6}{16}=\frac{3}{8}$.

Answer:

A tree diagram would show that the number of possible outcomes for two spins is 16 with 6 outcomes showing exactly one 'ש'. The probability of spinning exactly one 'ש' in two spins is $\frac{3}{8}$. Max gave the probability of spinning 'ש' on a single spin.