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

The probability that Joe's stock will go up and he will win in the lottery  is 0.00005.

Step-by-step explanation:

Let the events be denoted as:

X = the stock goes up

Y = Joe wins the lottery

Given:

P (X) = 0.50

P (Y) = 0.0001

The events of the stock going up is not dependent on the the event of Joe winning the lottery.

So the events X and Y are independent of each other.

Independent events are those events that can occur together at the same time.

The joint probability of two independent events A and B is,

Compute the value of P (X ∩ Y) as follows:

Thus, the probability that Joe's stock will go up and he will win in the lottery  is 0.00005.

x^6

step-by-step explanation:

this is correct because:

x-6=0

0*x=0

so

x^6