Jack puts the letters of the word BUILDING on pieces of paper and puts the pieces in a bag. He draws two letters without looking.The first piece of paper is not replaced before the second piece is drawn. What is the probability that Jack draws an I twice. HELP!

Question

campbell_st · Answer

what is the probability of drawing the 1st letter...?

anonymous · Answer

I'm not sure here are the answer choices A:1/28 B:1/32 C:3/28 D:11/28 i think its B

campbell_st · Answer

there are 2 I's   and 8 letters 

so P(I) = 2/8

so if that I is not replaced

what is the probability of drawing a 2nd I  ?

anonymous · Answer

it would be 1/7 right

campbell_st · Answer

thats correct so 

P(I, I) = 2/8 x 1/7

anonymous · Answer

would that equal 22/56

campbell_st · Answer

nope 

$$\frac{2}{8} \times \frac{1}{7} = \frac{2 \times 1}{8 \times 7}$$

and then simplify the fraction

anonymous · Answer

so it would be 1/28?

campbell_st · Answer

thats correct

anonymous · Answer

yesss, thank you also would the the answer to this question be 17.8, The probability that a dessert sold at a certain cafe contains chocolate is 74%. The probability that a dessert contains both chocolate and nuts is 24%. Find the probability that a randomly chosen chocolate dessert contains nuts. Round to the nearest tenth of a percent

anonymous · Answer

@campbell_st

campbell_st · Answer

yes... that makes sense to me....

anonymous · Answer

Okay thank you!