Question

A card is selected at random from a standard deck of 52 cards find the probability of choosing a spade or a 8card

Answer 1

Answer:

The probability of choosing a spade or a 8card = 4/13

Step-by-step explanation:

There are 13 spade cards in the deck of 52 cards.

∴ Probability for the card to be a spade = P₁ = 13/52 = 1/4

There are 4 8card in 52 cards.

∴  Probability for the card to be 8card = P₂ = 4/52 = 1/13

There is only one 8card Spade

∴ Probability for the card to be an 8card and spade = P₁₂ = 1/52

Probability for the card to be a spade or an ace = P₃ = P₁ + P₂ - P₁₂

∴ P₃ = 1/4 + 1/13 − 1/52 = 4/13