One card is drawn from a pack of well shuffle cards. what will be the probability of a diamond card?
1. 1/8
2. 1/4
3. 1/5
4. 1/6
5. 1/2
1. 1/8
2. 1/4
3. 1/5
4. 1/6
5. 1/2
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Correct Answer – Option 2 : 1/4
Formula used:
nCr = n!/((n-r)! × r!)
Calculation:
Let S be the sample space then,
n(S) = number of way of selecting 1 card out of 52 card
⇒ n(S) = 52C1 = 52
Let E be the event of getting a diamond card
Total number of diamond card = 13
n(E) = 13C1
⇒ 13
P(E) = n(E)/n(S)
⇒ P(E) = 13/52
⇒ 1/4
∴ The probability of a diamond card is 1/4