Question

Randomly selecting a red tie from a drawer that holds five blue ties, six red ties, and seven green ties

Answer 1

The probability of selecting a red tie at random from a drawer with 18 ties is 1/3, since there are 6 red ties and 18 ties in total.

Step-by-step explanation:

To determine the probability of randomly selecting a red tie from a drawer, we use the formula for theoretical probability, which is P(Event) = Number of outcomes favoring the event / Total number of possible outcomes. In this case:

• Number of red ties = 6 (favorable outcomes)
• Total number of ties = 5 blue ties + 6 red ties + 7 green ties = 18 (possible outcomes)

Therefore, the probability of selecting a red tie at random is:

P(red tie) = Number of red ties / Total number of ties

P(red tie) = 6 / 18

P(red tie) = 1 / 3

This means there's a one in three chance of drawing a red tie from the drawer.

Complete Question:

Use the theoretical method to determine the probability of randomly selecting a red tie from a drawer that holds five blue ties, six red ties and seven green ties.