Draw three cards from a deck of regular playing cards, replacing the cards and shuffling the cards between draws. compute the probability of drawing a heart, a ten, and a club in that order.

The probability of drawing a heart, a ten and a club in that order is .

Step-by-step explanation:

We know that a standard deck of cards has 52 cards and 4 suits, and each suit has 13 cards. Since the cards are replaced and shuffled before drawing a new one, we know that the events are independent to each other.

First, we compute the probability of each event separately:

Next, we compute the probability of the compound event of drawing a heart, a ten and a club in that order which is given by:

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

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