Answer:
0.160275
Step-by-step explanation:
P(5 time heads) =P(fair penny and 5 time heads + weighted penny and 5 time heads)
probability of fair penny = 99/100 (as one is removed)
probability of heads = 50% = 0.5 flipped 5 times
probability of weighted penny = 1/100
probability of heads for this penny = 90% = 0.9
substituting, we have
=(99/100) * (1/2)*5 + (1/100) * (0.9)5 = 0.036842
hence from Bayes theorem
P(weighted penny | 5 time heads) =P(weighted penny and 5 time heads) / P(5 time heads)
=(1/100)*(0.9)5 /0.036842 =0.160275
Answer: Our required answer will be

Step-by-step explanation:
Since we have given that

We need to get the difference:
1) We first open the second bracket and make appropriate change in signs :

2) Gather the like terms together :

Hence, our required answer will be

Wow this... this is a lot YOU need help on
When reading questions like these, watch out for "or", which means to add.
There are a total of 15 tiles;
There are 5/15 (1/3 simplified) A tiles.
There are 3/15 (1/5 simplified) E tiles.
There are 1/15 Z tiles.
There are 2/15 M tiles.
There are 3/15 (1/5 simplified) L tiles.
There is 1/15 Y tiles.
We are looking for E or Y, which means we must add their fractions together.
E = 3/15, Y = 1/15.
3/15 + 1/15 = 4/15
You have a 4/15 chance of drawing an E or a Y.
I hope this helps! :)