From a deck of cards, 10 cards are picked at random and shuffled. The cards are as follows:
6, 5, 3, 9, 7, 6, 4, 2, 8, 2
Find the probability of picking a card having value more than 5 and find the probability of picking a card with an even number on it.
Answers
Answer:
Total no. of cards =52
(i) Prime numbers in the deck =2,3,5,7,
No. of favourable outcomes =4×4=16
Probability of getting a prime number on the card =
Total no. of possible outcomes
No. of favourable outcomes
=
52
16
=
13
4
(ii) Faces in the deck =3(King, queen and jack)
No. of favourable outcomes =3×4=12
Probability of getting a prime number on the card =
Total no. of possible outcomes
No. of favourable outcomes
=
52
12
=
13
3
Answer:
ʏᴏᴜ ᴄᴀɴ ᴄᴏᴜɴᴛ ᴀʟʟ ᴛʜᴇ ᴇᴠᴇɴ ᴄᴀʀᴅs ᴏғ ᴛʜᴇ 52, ᴏʀ ᴊᴜsᴛ ɴᴏᴛᴇ ᴛʜᴀᴛ ᴛʜᴇʀᴇ ᴀʀᴇ ғᴏᴜʀ sᴜɪᴛs (ʜᴇᴀʀᴛs, ᴅɪᴀᴍᴏɴᴅs, ᴄʟᴜʙs, sᴘᴀᴅᴇs), ᴇᴀᴄʜ ᴇǫᴜᴀʟʟʏ ʟɪᴋᴇʟʏ, ᴡɪᴛʜ ᴄᴀʀᴅs. ᴏғ ᴛʜᴏsᴇ ʜᴀᴠᴇ ᴇᴠᴇɴ ɴᴜᴍʙᴇʀs (, , , , ), ғᴏᴜʀ ʜᴀᴠᴇ ᴏᴅᴅ (, , , ), ᴛʜᴇʀᴇ ᴀʀᴇ "ғᴀᴄᴇ" ᴄᴀʀᴅs (ᴊᴀᴄᴋ, ǫᴜᴇᴇɴ, ᴋɪɴɢ), ᴀɴᴅ ᴛʜᴇ ᴀᴄᴇ. ᴛʜᴇ ғᴀᴄᴇ ᴄᴀʀᴅs ᴀʀᴇ ᴜsᴜᴀʟʟʏ ᴛᴀᴋᴇɴ ᴛᴏ ʜᴀᴠᴇ ᴠᴀʟᴜᴇ , ᴀs ɪɴ ʙʟᴀᴄᴋᴊᴀᴄᴋ, ᴀɴᴅ ᴛʜᴇ ᴀᴄᴇ ɪs ᴀ (ᴏʀ ), sᴏ ᴏɴᴇ ᴀɴsᴡᴇʀ ᴛᴏ ᴛʜᴇ ǫᴜᴇsᴛɪᴏɴ ɪs ᴛʜᴀᴛ ᴏғ ᴛʜᴇ ᴄᴀʀᴅs ᴀʀᴇ ᴇᴠᴇɴ: , , , , , ᴊ, ǫ, ᴋ. sᴏ, ᴛʜᴇ ғɪɴᴀʟ ᴀɴsᴡᴇʀ ɪs 8/13
ʙᴜᴛ ᴏᴛʜᴇʀ ɢᴀᴍᴇs ᴍɪɢʜᴛ ʜᴀᴠᴇ ᴅɪғғᴇʀᴇɴᴛ ᴀɴsᴡᴇʀs. ɪғ ᴛʜᴇ ǫᴜᴇsᴛɪᴏɴ ɪs ʀᴇғᴇʀʀɪɴɢ ᴏɴʟʏ ᴛᴏ ᴛʜᴇ ᴏɴᴇs ᴡɪᴛʜ ᴀᴄᴛᴜᴀʟ ɴᴜᴍʙᴇʀs, ᴛʜᴇɴ ᴛʜᴇ ᴀɴsᴡᴇʀ ɪs 5/13