Question

One card is selected from a well shuffled deck of 52cards find the probability of getting a red card with prime numbers

Answer 1

Answer:

Total number of outcomes = 52.

Let's find the number of favourable outcomes :

There are 26 red cards and 26 black in a deck.

There are 8 prime numbered in red cards and 8 in black.

Let's see how there are 8 prime numbered cards.

Card 2, 3, 5 and 7 for hearts and similarly for diamonds.

Hence, there are 8 cards (red coloured prime numbered cards) in a deck.

Now, we know that probability = Favourable outcomes/Total number of outcomes.

Hence, Probability = 8/52

Probability = 2/13

Answer 2

❥ Qᴜᴇsᴛɪᴏɴ :-

One card is selected from a well shuffled deck of 52cards find the probability of getting a red card with prime numbers

❥ Gɪᴠᴇɴ :-

• One card is selected from a well shuffled deck of 52 cards.

❥ Tᴏ Fɪɴᴅ :-

• Probability of getting a red card with prime numbers

❥ Fᴏʀᴍᴜʟᴀ ᴛᴏ ʙᴇ ᴜsᴇᴅ :-

• Probability = Favorable outcomes / Total outcomes

❥ Sᴏʟᴜᴛɪᴏɴ :-

• No of red cards in the deck = 26

• Total no of outcomes = 52

Number of red cards having prime number = 8

( 2, 3, 5, 7 in ♥ and 2, 3, 5, 7 in ♦ )

So, Favorable outcomes = 8

Using formula

Probability = No of favorable outcomes / Total number of outcomes

⟾ 8/52

⟾ 2/13

⛬ Pʀᴏʙᴀʙɪʟɪᴛʏ = 2/13