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podryga [215]
3 years ago
7

Compute probability of randomly selected 5 cards from deck of 52 cards and getting only one Jack.

Mathematics
2 answers:
vfiekz [6]3 years ago
8 0

Answer:

3243 / 10829 ≈ 0.2995

Step-by-step explanation:

There are 52 cards in a deck.  5 cards are selected, so the number of possible combinations is ₅₂C₅.

Of the 5 cards selected, 1 is a Jack and 4 are non-Jacks.

There are 4 Jacks in a deck.  The number of ways of choosing 1 Jack from 4 is ₄C₁.

There are 48 non-Jacks in a deck.  The number of ways of choosing 4 non-Jacks from 48 is ₄₈C₄.

So the probability is:

P = ₄C₁ ₄₈C₄ / ₅₂C₅

P = 4 × 194580 / 2598960

P = 778320 / 2598960

P = 3243 / 10829

P ≈ 0.2995

Lynna [10]3 years ago
4 0

Answer:

5/25

Step-by-step explanation:

Probability would be that you randomly select 5 cards so the selection goes above the fraction and the total amout of cards goes below.

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