drag the tiles to the correct boxes to complete the pairs. match each event to the probability of its…

drag the tiles to the correct boxes to complete the pairs. match each event to the probability of its occurrence. the probability of getting a six when a six - sided die is rolled the probability of randomly picking a vanilla - scented candle from a set of 3 vanilla - scented candles, 8 rose - scented candles, and 10 lavender - scented candles the probability of selecting a girl named maria to be line leader from a class of 32 girls in which 4 students are named maria the probability of getting an even number when a six - sided die is rolled

drag the tiles to the correct boxes to complete the pairs. match each event to the probability of its occurrence. the probability of getting a six when a six - sided die is rolled the probability of randomly picking a vanilla - scented candle from a set of 3 vanilla - scented candles, 8 rose - scented candles, and 10 lavender - scented candles the probability of selecting a girl named maria to be line leader from a class of 32 girls in which 4 students are named maria the probability of getting an even number when a six - sided die is rolled

Answer

Explanation:

Step1: Calculate probability of rolling a six on a six - sided die

The total number of outcomes when rolling a six - sided die is $n = 6$, and the number of favorable outcomes (getting a six) is $m = 1$. The probability formula is $P=\frac{m}{n}$, so $P_1=\frac{1}{6}$.

Step2: Calculate probability of picking a vanilla - scented candle

The total number of candles is $3 + 8+10=21$, and the number of vanilla - scented candles is $m = 3$. Using the probability formula $P=\frac{m}{n}$, we get $P_2=\frac{3}{21}=\frac{1}{7}$.

Step3: Calculate probability of selecting a girl named Maria as line leader

The total number of girls is $n = 32$, and the number of girls named Maria is $m = 4$. By the probability formula $P=\frac{m}{n}$, we have $P_3=\frac{4}{32}=\frac{1}{8}$.

Step4: Calculate probability of rolling an even number on a six - sided die

The even numbers on a six - sided die are 2, 4, 6. So the number of favorable outcomes $m = 3$ and the total number of outcomes $n = 6$. Using the probability formula $P=\frac{m}{n}$, we obtain $P_4=\frac{3}{6}=\frac{1}{2}$.

Answer:

  • The probability of getting a six when a six - sided die is rolled: $\frac{1}{6}$
  • The probability of randomly picking a vanilla - scented candle from a set of 3 vanilla - scented candles, 8 rose - scented candles, and 10 lavender - scented candles: $\frac{1}{7}$
  • The probability of selecting a girl named Maria to be line leader from a class of 32 girls in which 4 students are named Maria: $\frac{1}{8}$
  • The probability of getting an even number when a six - sided die is rolled: $\frac{1}{2}$