A family has a day of 7 activities planned: shopping, picnic, hiking, swimming, bike ride, video games, and movie. To make it more adventurous they decide to randomly pick the order of the activities out of a hat. Find the probability that bike ride and movie are chosen consecutively, in either order.

Step-by-step explanation:

Given

--- number of games

Required

Probability of bike and movie in consecutive order

This probability is represented as:

So, we have:

The probability is an illustration of selection without replacement;

So, we have:

---- without replacement

Bike and Movie appear in the game list 1 time.

So, the equation becomes

Similarly,

So, we have:

Take LCM

7

step-by-step explanation:

the answer would be 7