How do you find the probability of three events happening at the same time? Please walk me through the steps.

If you are in ship and get hit by lightning the probability is 1/100000. And the probability of falling down into the ocean and getting eaten by a shark is 100/100000. The probability of dying from sinking of the ship is 25/10000. What is the probability of all events happening together.

If the events are independent, you multiply the probabilities.

For example that would not apply to falling and getting eaten by the shark BECAUSE you were hit by lightning or the ship sank but only as independent events.

To find the probability of three events happening at the same time, you need to multiply the probabilities of each individual event occurring.

In this case, we have three events: getting hit by lightning, falling into the ocean and getting eaten by a shark, and dying from the sinking of the ship. Let's assign probabilities to each event:

Event A = Getting hit by lightning: probability = 1/100000
Event B = Falling into the ocean and getting eaten by a shark: probability = 100/100000
Event C = Dying from the sinking of the ship: probability = 25/10000

To find the probability of all three events happening together, we can multiply the probabilities:

P(A and B and C) = P(A) * P(B) * P(C)

P(A and B and C) = (1/100000) * (100/100000) * (25/10000)

Let's simplify the calculation step by step:

P(A and B and C) = (1/100000) * (100/100000) * (25/10000)
= 1/10^10 * 1/10^10 * 1/4 * 1/10^4
= 1/10^24

Therefore, the probability of all three events happening together is 1/10^24.