Robert claims that his dog can do single-digit multiplication. he shows the dog 8 cards with simple multiplication problems that are either correct or incorrect. the dog correctly identifies the correctness of the card 5 times out of 8. if the dog were simply guessing, how many would the dog be expected to get correct?
5
8
13
4

Fourth option is correct.

Step-by-step explanation:

Since we have given that

Number of cards = 8

Probability of the correctness of the car =

Since there are two possibilities of the card i.e. correct and incorrect.

Let the number of correct answer that his dog chooses be 'x'.

Since we will apply Binomial theorem:

n = 8

p =

So, Mean would be

Hence, Fourth option is correct.

7! = 7×6×5×4×3×2

3! = 3× 2

as 7! is multiple of 3! because 7! contains 3! that is 3× 2 as factor

so 7! /(3! ) = 7× 6× 5× 4

= 42 × 20

= 840

its b) 840✌✌✌

dhruv⭐