Question

Question 5 id points

Answer 1

Probability of winning a grand prize is 1/10

Probability of winning a basic prize is 11/20

What is the probability of two independent events?

If A and B are two independent events, then P(A and B) = P(A) * P(B).

If Events A and B are independent, the probability that either Event A or Event B occurs is: P(A or B) = P(A) + P(B) - P(A and B).

Solution:

P(A) = no. of A / total possibility

     = 4/10

P(B) = no. of 1's/total possibility

     = 3/12

    =  1/4

Now,

To win a grand prize you need an "A" and "1" .

∴ P(A and B) = P(A) × P(B)

                   = 4/10 × 1/4

        P(A and B) = 1/10

Now ,

To win a basic prize you need to spin an "A" or a "1"

∴ P(A or B) = P(A) + P(B) - P(A and B)

                 = 4/10 + 1/4 - 1/10

                 = 3/10 + 1/4

∴ P(A or B)=  11/20

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Answer 2

Probability of winning a grand prize is 1/10

Probability of winning a basic prize is 11/20

What is the probability of two independent events?

If A and B are two independent events, then P(A and B) = P(A) * P(B).

If Events A and B are independent, the probability that either Event A or Event B occurs is: P(A or B) = P(A) + P(B) - P(A and B).

Solution:

P(A) = no. of A / total possibility

      = 4/10

P(B) = no. of 1's/total possibility

      = 3/12

     =  1/4

Now,

To win a grand prize you need an "A" and "1" .

∴ P(A and B) = P(A) × P(B)

                    = 4/10 × 1/4

         P(A and B) = 1/10

Now ,

To win a basic prize you need to spin an "A" or a "1"

∴ P(A or B) = P(A) + P(B) - P(A and B)

                  = 4/10 + 1/4 - 1/10

                  = 3/10 + 1/4

∴ P(A or B)=  11/20

To learn more about probability of independent events click on the link below:

brainly.com/question/16157262

#SPJ4