Sam claims that his cat can do single-digit multiplication. he shows the cat 10 cards with simple multiplication problems that are either correct or incorrect. the cat correctly identifies the correctness of the card 7 times out of 10. if the cat were simply guessing, how many would the cat be expected to get correct?

The cat is expected to get correct is:

5

Step-by-step explanation:

Sam claims that his cat can do single-digit multiplication.

He shows the cat 10 cards with simple multiplication problems that are either correct or incorrect.

Since, there are 50% chances of a question being correct or incorrect.

i.e. the probability of a answer being correct or incorrect is:

1/2

Also there are total 12 questions.

Hence, the expected value of the cat being correct after guessing is:

where x denote the event and the probability of an event.

Here x denote the question and p(x) it's probability.

Hence, the expected value is:

Hence, the cat is expected to get correct is:

5

$450.00 for 6 weeks

or

$300

step-by-step explanation:

$200.00 for first week $50.00 x5 equals $250 plus $200 equals $450.00 for six weeks.

$200 for first week

$200 x 0.10 = $20

$20 x 5 = $100

$200 + $100 = $300