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belle will randomly select two cards without replacement. what is the probability that belle will choose two hearts.
there are 10 cards 3 stars, 4 hearts and 3 flowers



Answer :

Answer:

2/15

Step-by-step explanation:

First, let's get the total amount of cards. Which as listed, is 10.

3 stars

4 hearts

3 flowers

=10 cards

We need to find the probability of Belle choosing TWO of the given FOUR hearts out of the 10 possible cards FIRST.

Based on the info given, this is a dependent event meaning on the second draw, we're gonna have 9 cards instead of 10 since we already took one out. And one less heart card, so from 4 to 3.

First Draw possibility: 4/10; we have a 4 out of 10 chance of getting a heart card. 4/10 REDUCES TO 2/5.

Second Draw possibility: 3/9; the only reason the numerator also decreased one is because we're talking abt heart cards. The denominator decreased because we now have a selection of 9 cards to choose from since we hypothetically already took one out first draw. 3/9 REDUCES TO 1/3.

Now let's multiply the two draws together to find out our total possibility of drawing 2 hearts.

2/5 x 1/3 = 2/15

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