Question

a student made a cube shaped die from a card sheet. instead of writing number 1,2,3,4,5,6 on its face he wrote letter a, b, c, d, e, f on each face randomly . if he rolls the die twice find probability that he gets a vowel on upper face both times
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Answer 1

Answer:

Explanation:

A student made a cube-shaped die from a card sheet. Instead of writing numbers 1,2,3,4,5,6 on its face, he wrote letters a,b,c,d,e,f one on each face randomly. So, he rolls the dice twice.

∴ S = {aa, ab, ac, ad, ae, af, ba, bb, bc, bd, be, bf, ca, cb, cc, cd, ce, cf, da, db, dc, dd, de, df,  ea, eb, ec, ed, ee, ef, fa, fb, fc, fd, fe, ff}

∴ n(S) = 36

Let A be the vowel on the upper face both times

A = {aa, ae, ea, ee}

∴ n(A) = 4

∴ P(A) =      $\frac{n(A)}{n(S)}=\frac{4}{36} =\frac{1}{9}$