Joe owns a stock which has probability .5 of going up. This morning, he bought a ticket in a lottery game which gives him a probability .0001 of winning. What is the probability that Joe's stock will go up and he will win in the lottery? Your answer should keep 5 positions to the right of the decimal, like .43212

0.00005

Step-by-step explanation:

The probability of the stock going up and that of winning in the lottery are independent.

Hence, the probability of both = P(stock going up) × P(winning in the lottery) = 0.5 × 0.0001 = 0.00005

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!

right

step-by-step explanation: