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liubo4ka [24]
2 years ago
10

Nine cards are numbered from 1 to 9 and placed in a box. One card is selected at random and not replaced. Another card is random

ly selected. What is the probability of selecting two prime numbers?
Mathematics
2 answers:
gizmo_the_mogwai [7]2 years ago
8 0

Answer:

1/6

Step-by-step explanation:

There are 4 primes. So the probability for the first draw is 4/9. Since the card is not replaced, the second probability is 3/8. 3/8 * 4/9 is 12/72, which simplifies into 1/6.

Alex_Xolod [135]2 years ago
8 0

Answer:

1/6

Step-by-step explanation:

There are 4 possible primes: 2, 3, 5, 7

First card has 4/9 probability of being a prime. Second card has 3/8 probability of being a prime(since 3 prime cards left and 8 total cards left because we do not replace the first card). 4/9 * 3/8 = 1/6.

Another way to do this is using combinatorics. C(9,2) = 36 ways to choose 2 distinct cards, C(4,2) = 6 ways to choose two of the "prime" cards. 6/36 = 1/6.

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