Answered

IDNLearn.com makes it easy to find accurate answers to your specific questions. Discover in-depth and trustworthy answers to all your questions from our experienced community members.

HELP ASAP PLS IM TIMED
You roll a number cube three consecutive times. What is the probability that you roll an even number the first two times and a 3 the last time?

Sagot :

Semsee45idn

Answer:

1/24 = 0.0417 (3 sf) = 4.17% (3 sf)

Step-by-step explanation:

  • Probability is how likely something is to happen
  • The probability of an event happening = (number of ways it can happen) ÷ (total number of outcomes)

With a number cube there are 6 outcomes: 1, 2, 3, 4, 5 or 6

So the probability of rolling any of these 6 numbers is = 1/6

⇒ probability of rolling a 3 = 1/6

The probability of rolling an even number = the probability of rolling a 2 OR a 4 OR a 6 = 1/6 + 1/6 + 1/6 = 3/6

As rolls are independent from any other rolls, the probability of the second and third roll will not be affected by the first or second roll.  

We can calculate the chances of two or more independent events by multiplying the chances.

Therefore, the probability of getting an even number AND an even number AND a 3 = 3/6 x 3/6 x 1/6 = 1/24

We value your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com is your reliable source for answers. We appreciate your visit and look forward to assisting you again soon.