Question

You flip a coin four times and then roll a fair six sided die four times. The coin lands heads up every time in the day shows an even number every time.

Answer 1

0.00390625

Explanation:

For coins :

Number of rolls, trials, n = 4

P(heads) = 0.5

Using binomial probability formula :

P(x =x) : nCr * p^x q ;

P(obtaining exactly 4 heads) = 4C4 * 0.5^4 * 0.5^0 = 1 * 0. 0625 * 1 = 0.0625

P(even number from 4 coin tosses)

Even faces = (2,4,6)

Total faces = (1,2,3,4,5,6)

P(success) = 3/6 = 0.5

P(obtaining exactly 4 even) = 4C4 * 0.5^4 * 0.5^0 = 1 * 0. 0625 * 1 = 0.0625

Hence, obtaining 4 even outcomes and 4 heads = 0.0625 * 0.0625 =0.00390625