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The letters of the word strawberries are written on cars in the cars are then shuffled. A card is picked at random find the probability that the card contains a the letter SB the RC a consonant or D a letter in the word Kramer

User Alex Weber
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Answer:

in the word strawberry we have:

s ---- 1 time

t----- 1 time

r -----3 times

a---- 1 time

w ---- 1 time

b ---- 1 time

e ---- 1 time

y ---- 1 time.

a total of 10 letters

The probability of finding a given letter is equal to the amount of times that we have that letter in the word divided by the number ofall the letters in the word.

Prob of letter S or B.

We have only one S and one B so here we have 2 options

the prob is P = 2/10 = 1/5 = 0.20

Prob of letter R or C.

We have 3 times letter R and zero times letter C, so we have 3 options:

the prob is P = 3/10 = 0.3

A consonant or D: We have one S, one T, 3 Rs, one W, one B and one Y, (we have no letter D in the word) so the number of options is:

1 + 1 + 3 + 1 +1 + 1 = 8 options

the prob is p = 8/10 = 0.80

For a letter in the word kramer.

the letters in common between kramer and strawberry are:

r, e and a.

In our 10 cards we have 3 times letter R, 1 time the letter A and one time the letter E, a total of 3 + 1 + 1 = 5 options:

The prob is p = 5/10 = 0.5

User Almudena
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